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Finding the Third Proportional to 341,307 and 744,822

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Solution

The third proportional to 341,307 and 744,822 is: 1,625,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,307 : 744,822 = 744,822 : x
  2. Step 2: Convert to fraction form
    341,307/744,822 = 744,822/x
  3. Step 3: Cross multiply
    341,307x = 744,822 × 744,822
  4. Step 4: Simplify right side
    341,307x = 554,759,811,684
  5. Step 5: Solve for x
    x = 554,759,811,684/341,307
  6. Step 6: Final answer
    x = 1,625,398.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.