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Finding the Third Proportional to 465,692 and 711,902

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Solution

The third proportional to 465,692 and 711,902 is: 1,088,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,692 : 711,902 = 711,902 : x
  2. Step 2: Convert to fraction form
    465,692/711,902 = 711,902/x
  3. Step 3: Cross multiply
    465,692x = 711,902 × 711,902
  4. Step 4: Simplify right side
    465,692x = 506,804,457,604
  5. Step 5: Solve for x
    x = 506,804,457,604/465,692
  6. Step 6: Final answer
    x = 1,088,282.51

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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.