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Finding the Third Proportional to 465,677.50 and 711,882

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Solution

The third proportional to 465,677.50 and 711,882 is: 1,088,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,677.50 : 711,882 = 711,882 : x
  2. Step 2: Convert to fraction form
    465,677.50/711,882 = 711,882/x
  3. Step 3: Cross multiply
    465,677.50x = 711,882 × 711,882
  4. Step 4: Simplify right side
    465,677.50x = 506,775,981,924
  5. Step 5: Solve for x
    x = 506,775,981,924/465,677.50
  6. Step 6: Final answer
    x = 1,088,255.25

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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.