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Finding the Third Proportional to 663,639.50 and 1,024,796.50

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Solution

The third proportional to 663,639.50 and 1,024,796.50 is: 1,582,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,639.50 : 1,024,796.50 = 1,024,796.50 : x
  2. Step 2: Convert to fraction form
    663,639.50/1,024,796.50 = 1,024,796.50/x
  3. Step 3: Cross multiply
    663,639.50x = 1,024,796.50 × 1,024,796.50
  4. Step 4: Simplify right side
    663,639.50x = 1,050,207,866,412.25
  5. Step 5: Solve for x
    x = 1,050,207,866,412.25/663,639.50
  6. Step 6: Final answer
    x = 1,582,497.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.