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Finding the Third Proportional to 500,370 and 748,059

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Solution

The third proportional to 500,370 and 748,059 is: 1,118,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,370 : 748,059 = 748,059 : x
  2. Step 2: Convert to fraction form
    500,370/748,059 = 748,059/x
  3. Step 3: Cross multiply
    500,370x = 748,059 × 748,059
  4. Step 4: Simplify right side
    500,370x = 559,592,267,481
  5. Step 5: Solve for x
    x = 559,592,267,481/500,370
  6. Step 6: Final answer
    x = 1,118,356.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.