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Finding the Third Proportional to 658,098 and 992,004

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Solution

The third proportional to 658,098 and 992,004 is: 1,495,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,098 : 992,004 = 992,004 : x
  2. Step 2: Convert to fraction form
    658,098/992,004 = 992,004/x
  3. Step 3: Cross multiply
    658,098x = 992,004 × 992,004
  4. Step 4: Simplify right side
    658,098x = 984,071,936,016
  5. Step 5: Solve for x
    x = 984,071,936,016/658,098
  6. Step 6: Final answer
    x = 1,495,327.35

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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.