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Finding the Third Proportional to 462,098 and 677,127

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Solution

The third proportional to 462,098 and 677,127 is: 992,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,098 : 677,127 = 677,127 : x
  2. Step 2: Convert to fraction form
    462,098/677,127 = 677,127/x
  3. Step 3: Cross multiply
    462,098x = 677,127 × 677,127
  4. Step 4: Simplify right side
    462,098x = 458,500,974,129
  5. Step 5: Solve for x
    x = 458,500,974,129/462,098
  6. Step 6: Final answer
    x = 992,215.88

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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.