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Finding the Third Proportional to 607,378.50 and 863,470.13

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Solution

The third proportional to 607,378.50 and 863,470.13 is: 1,227,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,378.50 : 863,470.13 = 863,470.13 : x
  2. Step 2: Convert to fraction form
    607,378.50/863,470.13 = 863,470.13/x
  3. Step 3: Cross multiply
    607,378.50x = 863,470.13 × 863,470.13
  4. Step 4: Simplify right side
    607,378.50x = 745,580,656,767.52
  5. Step 5: Solve for x
    x = 745,580,656,767.52/607,378.50
  6. Step 6: Final answer
    x = 1,227,538.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.