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Finding the Third Proportional to 493,920.28 and 744,776.02

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Solution

The third proportional to 493,920.28 and 744,776.02 is: 1,123,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,920.28 : 744,776.02 = 744,776.02 : x
  2. Step 2: Convert to fraction form
    493,920.28/744,776.02 = 744,776.02/x
  3. Step 3: Cross multiply
    493,920.28x = 744,776.02 × 744,776.02
  4. Step 4: Simplify right side
    493,920.28x = 554,691,313,450.25
  5. Step 5: Solve for x
    x = 554,691,313,450.25/493,920.28
  6. Step 6: Final answer
    x = 1,123,038.14

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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.