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Finding the Third Proportional to 399,829.50 and 633,001.50

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Solution

The third proportional to 399,829.50 and 633,001.50 is: 1,002,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,829.50 : 633,001.50 = 633,001.50 : x
  2. Step 2: Convert to fraction form
    399,829.50/633,001.50 = 633,001.50/x
  3. Step 3: Cross multiply
    399,829.50x = 633,001.50 × 633,001.50
  4. Step 4: Simplify right side
    399,829.50x = 400,690,899,002.25
  5. Step 5: Solve for x
    x = 400,690,899,002.25/399,829.50
  6. Step 6: Final answer
    x = 1,002,154.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.