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Finding the Third Proportional to 454,350.94 and 712,805.06

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Solution

The third proportional to 454,350.94 and 712,805.06 is: 1,118,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,350.94 : 712,805.06 = 712,805.06 : x
  2. Step 2: Convert to fraction form
    454,350.94/712,805.06 = 712,805.06/x
  3. Step 3: Cross multiply
    454,350.94x = 712,805.06 × 712,805.06
  4. Step 4: Simplify right side
    454,350.94x = 508,091,057,125.63
  5. Step 5: Solve for x
    x = 508,091,057,125.63/454,350.94
  6. Step 6: Final answer
    x = 1,118,278.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.