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Finding the Third Proportional to 399,775.50 and 865,981.13

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Solution

The third proportional to 399,775.50 and 865,981.13 is: 1,875,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,775.50 : 865,981.13 = 865,981.13 : x
  2. Step 2: Convert to fraction form
    399,775.50/865,981.13 = 865,981.13/x
  3. Step 3: Cross multiply
    399,775.50x = 865,981.13 × 865,981.13
  4. Step 4: Simplify right side
    399,775.50x = 749,923,308,856.27
  5. Step 5: Solve for x
    x = 749,923,308,856.27/399,775.50
  6. Step 6: Final answer
    x = 1,875,861.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.