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Finding the Third Proportional to 462,067 and 578,403

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Solution

The third proportional to 462,067 and 578,403 is: 724,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,067 : 578,403 = 578,403 : x
  2. Step 2: Convert to fraction form
    462,067/578,403 = 578,403/x
  3. Step 3: Cross multiply
    462,067x = 578,403 × 578,403
  4. Step 4: Simplify right side
    462,067x = 334,550,030,409
  5. Step 5: Solve for x
    x = 334,550,030,409/462,067
  6. Step 6: Final answer
    x = 724,029.27

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.