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Finding the Third Proportional to 478,883 and 717,006

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Solution

The third proportional to 478,883 and 717,006 is: 1,073,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,883 : 717,006 = 717,006 : x
  2. Step 2: Convert to fraction form
    478,883/717,006 = 717,006/x
  3. Step 3: Cross multiply
    478,883x = 717,006 × 717,006
  4. Step 4: Simplify right side
    478,883x = 514,097,604,036
  5. Step 5: Solve for x
    x = 514,097,604,036/478,883
  6. Step 6: Final answer
    x = 1,073,534.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.