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Finding the Third Proportional to 462,999 and 614,502

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Solution

The third proportional to 462,999 and 614,502 is: 815,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,999 : 614,502 = 614,502 : x
  2. Step 2: Convert to fraction form
    462,999/614,502 = 614,502/x
  3. Step 3: Cross multiply
    462,999x = 614,502 × 614,502
  4. Step 4: Simplify right side
    462,999x = 377,612,708,004
  5. Step 5: Solve for x
    x = 377,612,708,004/462,999
  6. Step 6: Final answer
    x = 815,579.96

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.