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Finding the Third Proportional to 508,104 and 746,952

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Solution

The third proportional to 508,104 and 746,952 is: 1,098,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,104 : 746,952 = 746,952 : x
  2. Step 2: Convert to fraction form
    508,104/746,952 = 746,952/x
  3. Step 3: Cross multiply
    508,104x = 746,952 × 746,952
  4. Step 4: Simplify right side
    508,104x = 557,937,290,304
  5. Step 5: Solve for x
    x = 557,937,290,304/508,104
  6. Step 6: Final answer
    x = 1,098,076.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.