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Finding the Third Proportional to 347,859 and 738,364

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Solution

The third proportional to 347,859 and 738,364 is: 1,567,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,859 : 738,364 = 738,364 : x
  2. Step 2: Convert to fraction form
    347,859/738,364 = 738,364/x
  3. Step 3: Cross multiply
    347,859x = 738,364 × 738,364
  4. Step 4: Simplify right side
    347,859x = 545,181,396,496
  5. Step 5: Solve for x
    x = 545,181,396,496/347,859
  6. Step 6: Final answer
    x = 1,567,248.21

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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.