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Finding the Third Proportional to 537,463.13 and 813,142.69

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Solution

The third proportional to 537,463.13 and 813,142.69 is: 1,230,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,463.13 : 813,142.69 = 813,142.69 : x
  2. Step 2: Convert to fraction form
    537,463.13/813,142.69 = 813,142.69/x
  3. Step 3: Cross multiply
    537,463.13x = 813,142.69 × 813,142.69
  4. Step 4: Simplify right side
    537,463.13x = 661,201,030,234.72
  5. Step 5: Solve for x
    x = 661,201,030,234.72/537,463.13
  6. Step 6: Final answer
    x = 1,230,225.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.