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Finding the Third Proportional to 316,569.75 and 453,480.56

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Solution

The third proportional to 316,569.75 and 453,480.56 is: 649,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,569.75 : 453,480.56 = 453,480.56 : x
  2. Step 2: Convert to fraction form
    316,569.75/453,480.56 = 453,480.56/x
  3. Step 3: Cross multiply
    316,569.75x = 453,480.56 × 453,480.56
  4. Step 4: Simplify right side
    316,569.75x = 205,644,620,565.32
  5. Step 5: Solve for x
    x = 205,644,620,565.32/316,569.75
  6. Step 6: Final answer
    x = 649,602.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.