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Finding the Third Proportional to 338,748 and 746,604

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Solution

The third proportional to 338,748 and 746,604 is: 1,645,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,748 : 746,604 = 746,604 : x
  2. Step 2: Convert to fraction form
    338,748/746,604 = 746,604/x
  3. Step 3: Cross multiply
    338,748x = 746,604 × 746,604
  4. Step 4: Simplify right side
    338,748x = 557,417,532,816
  5. Step 5: Solve for x
    x = 557,417,532,816/338,748
  6. Step 6: Final answer
    x = 1,645,522.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.