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Finding the Third Proportional to 478,882 and 717,004

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Solution

The third proportional to 478,882 and 717,004 is: 1,073,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,882 : 717,004 = 717,004 : x
  2. Step 2: Convert to fraction form
    478,882/717,004 = 717,004/x
  3. Step 3: Cross multiply
    478,882x = 717,004 × 717,004
  4. Step 4: Simplify right side
    478,882x = 514,094,736,016
  5. Step 5: Solve for x
    x = 514,094,736,016/478,882
  6. Step 6: Final answer
    x = 1,073,531.13

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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.