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Finding the Third Proportional to 348,427 and 738,720

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Solution

The third proportional to 348,427 and 738,720 is: 1,566,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,427 : 738,720 = 738,720 : x
  2. Step 2: Convert to fraction form
    348,427/738,720 = 738,720/x
  3. Step 3: Cross multiply
    348,427x = 738,720 × 738,720
  4. Step 4: Simplify right side
    348,427x = 545,707,238,400
  5. Step 5: Solve for x
    x = 545,707,238,400/348,427
  6. Step 6: Final answer
    x = 1,566,202.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.