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Finding the Third Proportional to 465,375.38 and 711,595.13

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Solution

The third proportional to 465,375.38 and 711,595.13 is: 1,088,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,375.38 : 711,595.13 = 711,595.13 : x
  2. Step 2: Convert to fraction form
    465,375.38/711,595.13 = 711,595.13/x
  3. Step 3: Cross multiply
    465,375.38x = 711,595.13 × 711,595.13
  4. Step 4: Simplify right side
    465,375.38x = 506,367,621,923.77
  5. Step 5: Solve for x
    x = 506,367,621,923.77/465,375.38
  6. Step 6: Final answer
    x = 1,088,084.26

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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.