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Finding the Third Proportional to 493,943.06 and 744,805.13

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Solution

The third proportional to 493,943.06 and 744,805.13 is: 1,123,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,943.06 : 744,805.13 = 744,805.13 : x
  2. Step 2: Convert to fraction form
    493,943.06/744,805.13 = 744,805.13/x
  3. Step 3: Cross multiply
    493,943.06x = 744,805.13 × 744,805.13
  4. Step 4: Simplify right side
    493,943.06x = 554,734,674,226.27
  5. Step 5: Solve for x
    x = 554,734,674,226.27/493,943.06
  6. Step 6: Final answer
    x = 1,123,074.13

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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.