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Finding the Third Proportional to 506,901.75 and 708,681

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Solution

The third proportional to 506,901.75 and 708,681 is: 990,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,901.75 : 708,681 = 708,681 : x
  2. Step 2: Convert to fraction form
    506,901.75/708,681 = 708,681/x
  3. Step 3: Cross multiply
    506,901.75x = 708,681 × 708,681
  4. Step 4: Simplify right side
    506,901.75x = 502,228,759,761
  5. Step 5: Solve for x
    x = 502,228,759,761/506,901.75
  6. Step 6: Final answer
    x = 990,781.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.