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Finding the Third Proportional to 508,713.75 and 787,340.25

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Solution

The third proportional to 508,713.75 and 787,340.25 is: 1,218,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,713.75 : 787,340.25 = 787,340.25 : x
  2. Step 2: Convert to fraction form
    508,713.75/787,340.25 = 787,340.25/x
  3. Step 3: Cross multiply
    508,713.75x = 787,340.25 × 787,340.25
  4. Step 4: Simplify right side
    508,713.75x = 619,904,669,270.06
  5. Step 5: Solve for x
    x = 619,904,669,270.06/508,713.75
  6. Step 6: Final answer
    x = 1,218,572.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.