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Finding the Third Proportional to 621,659 and 944,639.50

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Solution

The third proportional to 621,659 and 944,639.50 is: 1,435,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,659 : 944,639.50 = 944,639.50 : x
  2. Step 2: Convert to fraction form
    621,659/944,639.50 = 944,639.50/x
  3. Step 3: Cross multiply
    621,659x = 944,639.50 × 944,639.50
  4. Step 4: Simplify right side
    621,659x = 892,343,784,960.25
  5. Step 5: Solve for x
    x = 892,343,784,960.25/621,659
  6. Step 6: Final answer
    x = 1,435,423.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.