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Finding the Third Proportional to 424,390.50 and 613,742.75

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Solution

The third proportional to 424,390.50 and 613,742.75 is: 887,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,390.50 : 613,742.75 = 613,742.75 : x
  2. Step 2: Convert to fraction form
    424,390.50/613,742.75 = 613,742.75/x
  3. Step 3: Cross multiply
    424,390.50x = 613,742.75 × 613,742.75
  4. Step 4: Simplify right side
    424,390.50x = 376,680,163,177.56
  5. Step 5: Solve for x
    x = 376,680,163,177.56/424,390.50
  6. Step 6: Final answer
    x = 887,579.16

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.