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Finding the Third Proportional to 658,128 and 992,048

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Solution

The third proportional to 658,128 and 992,048 is: 1,495,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,128 : 992,048 = 992,048 : x
  2. Step 2: Convert to fraction form
    658,128/992,048 = 992,048/x
  3. Step 3: Cross multiply
    658,128x = 992,048 × 992,048
  4. Step 4: Simplify right side
    658,128x = 984,159,234,304
  5. Step 5: Solve for x
    x = 984,159,234,304/658,128
  6. Step 6: Final answer
    x = 1,495,391.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.