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Finding the Third Proportional to 497,555.16 and 680,864.17

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Solution

The third proportional to 497,555.16 and 680,864.17 is: 931,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,555.16 : 680,864.17 = 680,864.17 : x
  2. Step 2: Convert to fraction form
    497,555.16/680,864.17 = 680,864.17/x
  3. Step 3: Cross multiply
    497,555.16x = 680,864.17 × 680,864.17
  4. Step 4: Simplify right side
    497,555.16x = 463,576,015,223.79
  5. Step 5: Solve for x
    x = 463,576,015,223.79/497,555.16
  6. Step 6: Final answer
    x = 931,707.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.