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Finding the Third Proportional to 342,799 and 744,565

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Solution

The third proportional to 342,799 and 744,565 is: 1,617,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,799 : 744,565 = 744,565 : x
  2. Step 2: Convert to fraction form
    342,799/744,565 = 744,565/x
  3. Step 3: Cross multiply
    342,799x = 744,565 × 744,565
  4. Step 4: Simplify right side
    342,799x = 554,377,039,225
  5. Step 5: Solve for x
    x = 554,377,039,225/342,799
  6. Step 6: Final answer
    x = 1,617,207.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.