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Finding the Third Proportional to 419,565.38 and 645,275.63

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Solution

The third proportional to 419,565.38 and 645,275.63 is: 992,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,565.38 : 645,275.63 = 645,275.63 : x
  2. Step 2: Convert to fraction form
    419,565.38/645,275.63 = 645,275.63/x
  3. Step 3: Cross multiply
    419,565.38x = 645,275.63 × 645,275.63
  4. Step 4: Simplify right side
    419,565.38x = 416,380,632,219.14
  5. Step 5: Solve for x
    x = 416,380,632,219.14/419,565.38
  6. Step 6: Final answer
    x = 992,409.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.