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Finding the Third Proportional to 757,948.50 and 1,144,819.13

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Solution

The third proportional to 757,948.50 and 1,144,819.13 is: 1,729,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,948.50 : 1,144,819.13 = 1,144,819.13 : x
  2. Step 2: Convert to fraction form
    757,948.50/1,144,819.13 = 1,144,819.13/x
  3. Step 3: Cross multiply
    757,948.50x = 1,144,819.13 × 1,144,819.13
  4. Step 4: Simplify right side
    757,948.50x = 1,310,610,828,965.77
  5. Step 5: Solve for x
    x = 1,310,610,828,965.77/757,948.50
  6. Step 6: Final answer
    x = 1,729,155.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.