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Finding the Third Proportional to 277,597.13 and 597,304.13

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Solution

The third proportional to 277,597.13 and 597,304.13 is: 1,285,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,597.13 : 597,304.13 = 597,304.13 : x
  2. Step 2: Convert to fraction form
    277,597.13/597,304.13 = 597,304.13/x
  3. Step 3: Cross multiply
    277,597.13x = 597,304.13 × 597,304.13
  4. Step 4: Simplify right side
    277,597.13x = 356,772,217,742.02
  5. Step 5: Solve for x
    x = 356,772,217,742.02/277,597.13
  6. Step 6: Final answer
    x = 1,285,215.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.