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Finding the Third Proportional to 638,733 and 1,001,983.50

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Solution

The third proportional to 638,733 and 1,001,983.50 is: 1,571,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,733 : 1,001,983.50 = 1,001,983.50 : x
  2. Step 2: Convert to fraction form
    638,733/1,001,983.50 = 1,001,983.50/x
  3. Step 3: Cross multiply
    638,733x = 1,001,983.50 × 1,001,983.50
  4. Step 4: Simplify right side
    638,733x = 1,003,970,934,272.25
  5. Step 5: Solve for x
    x = 1,003,970,934,272.25/638,733
  6. Step 6: Final answer
    x = 1,571,816.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.