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Finding the Third Proportional to 390,597,715.13 and 595,053,684.84

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Solution

The third proportional to 390,597,715.13 and 595,053,684.84 is: 906,530,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,597,715.13 : 595,053,684.84 = 595,053,684.84 : x
  2. Step 2: Convert to fraction form
    390,597,715.13/595,053,684.84 = 595,053,684.84/x
  3. Step 3: Cross multiply
    390,597,715.13x = 595,053,684.84 × 595,053,684.84
  4. Step 4: Simplify right side
    390,597,715.13x = 354,088,887,846,124,928
  5. Step 5: Solve for x
    x = 354,088,887,846,124,928/390,597,715.13
  6. Step 6: Final answer
    x = 906,530,873.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.