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Finding the Third Proportional to 309,892.50 and 473,743.13

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Solution

The third proportional to 309,892.50 and 473,743.13 is: 724,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,892.50 : 473,743.13 = 473,743.13 : x
  2. Step 2: Convert to fraction form
    309,892.50/473,743.13 = 473,743.13/x
  3. Step 3: Cross multiply
    309,892.50x = 473,743.13 × 473,743.13
  4. Step 4: Simplify right side
    309,892.50x = 224,432,548,484.77
  5. Step 5: Solve for x
    x = 224,432,548,484.77/309,892.50
  6. Step 6: Final answer
    x = 724,227.11

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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.