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Finding the Third Proportional to 445,419 and 717,153.75

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Solution

The third proportional to 445,419 and 717,153.75 is: 1,154,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,419 : 717,153.75 = 717,153.75 : x
  2. Step 2: Convert to fraction form
    445,419/717,153.75 = 717,153.75/x
  3. Step 3: Cross multiply
    445,419x = 717,153.75 × 717,153.75
  4. Step 4: Simplify right side
    445,419x = 514,309,501,139.06
  5. Step 5: Solve for x
    x = 514,309,501,139.06/445,419
  6. Step 6: Final answer
    x = 1,154,664.49

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.