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Finding the Third Proportional to 280,624 and 498,915.50

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Solution

The third proportional to 280,624 and 498,915.50 is: 887,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,624 : 498,915.50 = 498,915.50 : x
  2. Step 2: Convert to fraction form
    280,624/498,915.50 = 498,915.50/x
  3. Step 3: Cross multiply
    280,624x = 498,915.50 × 498,915.50
  4. Step 4: Simplify right side
    280,624x = 248,916,676,140.25
  5. Step 5: Solve for x
    x = 248,916,676,140.25/280,624
  6. Step 6: Final answer
    x = 887,011.36

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.