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Finding the Third Proportional to 465,681 and 711,885

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Solution

The third proportional to 465,681 and 711,885 is: 1,088,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,681 : 711,885 = 711,885 : x
  2. Step 2: Convert to fraction form
    465,681/711,885 = 711,885/x
  3. Step 3: Cross multiply
    465,681x = 711,885 × 711,885
  4. Step 4: Simplify right side
    465,681x = 506,780,253,225
  5. Step 5: Solve for x
    x = 506,780,253,225/465,681
  6. Step 6: Final answer
    x = 1,088,256.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.