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Finding the Third Proportional to 658,453.50 and 1,442,732.25

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Solution

The third proportional to 658,453.50 and 1,442,732.25 is: 3,161,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,453.50 : 1,442,732.25 = 1,442,732.25 : x
  2. Step 2: Convert to fraction form
    658,453.50/1,442,732.25 = 1,442,732.25/x
  3. Step 3: Cross multiply
    658,453.50x = 1,442,732.25 × 1,442,732.25
  4. Step 4: Simplify right side
    658,453.50x = 2,081,476,345,190.06
  5. Step 5: Solve for x
    x = 2,081,476,345,190.06/658,453.50
  6. Step 6: Final answer
    x = 3,161,159.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.