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Finding the Third Proportional to 344,694 and 496,461

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Solution

The third proportional to 344,694 and 496,461 is: 715,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,694 : 496,461 = 496,461 : x
  2. Step 2: Convert to fraction form
    344,694/496,461 = 496,461/x
  3. Step 3: Cross multiply
    344,694x = 496,461 × 496,461
  4. Step 4: Simplify right side
    344,694x = 246,473,524,521
  5. Step 5: Solve for x
    x = 246,473,524,521/344,694
  6. Step 6: Final answer
    x = 715,050.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.