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Finding the Third Proportional to 277,844,595.19 and 604,114,903.69

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Solution

The third proportional to 277,844,595.19 and 604,114,903.69 is: 1,313,521,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,844,595.19 : 604,114,903.69 = 604,114,903.69 : x
  2. Step 2: Convert to fraction form
    277,844,595.19/604,114,903.69 = 604,114,903.69/x
  3. Step 3: Cross multiply
    277,844,595.19x = 604,114,903.69 × 604,114,903.69
  4. Step 4: Simplify right side
    277,844,595.19x = 364,954,816,857,357,376
  5. Step 5: Solve for x
    x = 364,954,816,857,357,376/277,844,595.19
  6. Step 6: Final answer
    x = 1,313,521,382.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.