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Finding the Third Proportional to 462,995 and 614,496

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Solution

The third proportional to 462,995 and 614,496 is: 815,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,995 : 614,496 = 614,496 : x
  2. Step 2: Convert to fraction form
    462,995/614,496 = 614,496/x
  3. Step 3: Cross multiply
    462,995x = 614,496 × 614,496
  4. Step 4: Simplify right side
    462,995x = 377,605,334,016
  5. Step 5: Solve for x
    x = 377,605,334,016/462,995
  6. Step 6: Final answer
    x = 815,571.08

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Why These Related Problems?

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