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Finding the Third Proportional to 341,496 and 749,422.13

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Solution

The third proportional to 341,496 and 749,422.13 is: 1,644,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,496 : 749,422.13 = 749,422.13 : x
  2. Step 2: Convert to fraction form
    341,496/749,422.13 = 749,422.13/x
  3. Step 3: Cross multiply
    341,496x = 749,422.13 × 749,422.13
  4. Step 4: Simplify right side
    341,496x = 561,633,521,439.52
  5. Step 5: Solve for x
    x = 561,633,521,439.52/341,496
  6. Step 6: Final answer
    x = 1,644,626.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.