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Finding the Third Proportional to 348,437 and 738,741

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Solution

The third proportional to 348,437 and 738,741 is: 1,566,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,437 : 738,741 = 738,741 : x
  2. Step 2: Convert to fraction form
    348,437/738,741 = 738,741/x
  3. Step 3: Cross multiply
    348,437x = 738,741 × 738,741
  4. Step 4: Simplify right side
    348,437x = 545,738,265,081
  5. Step 5: Solve for x
    x = 545,738,265,081/348,437
  6. Step 6: Final answer
    x = 1,566,246.60

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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.