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Finding the Third Proportional to 753,007.50 and 1,147,159.13

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Solution

The third proportional to 753,007.50 and 1,147,159.13 is: 1,747,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,007.50 : 1,147,159.13 = 1,147,159.13 : x
  2. Step 2: Convert to fraction form
    753,007.50/1,147,159.13 = 1,147,159.13/x
  3. Step 3: Cross multiply
    753,007.50x = 1,147,159.13 × 1,147,159.13
  4. Step 4: Simplify right side
    753,007.50x = 1,315,974,058,070.77
  5. Step 5: Solve for x
    x = 1,315,974,058,070.77/753,007.50
  6. Step 6: Final answer
    x = 1,747,624.10

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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.