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Finding the Third Proportional to 485,947 and 719,355.50

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Solution

The third proportional to 485,947 and 719,355.50 is: 1,064,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,947 : 719,355.50 = 719,355.50 : x
  2. Step 2: Convert to fraction form
    485,947/719,355.50 = 719,355.50/x
  3. Step 3: Cross multiply
    485,947x = 719,355.50 × 719,355.50
  4. Step 4: Simplify right side
    485,947x = 517,472,335,380.25
  5. Step 5: Solve for x
    x = 517,472,335,380.25/485,947
  6. Step 6: Final answer
    x = 1,064,874.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.