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Finding the Third Proportional to 349,947 and 767,691

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Solution

The third proportional to 349,947 and 767,691 is: 1,684,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,947 : 767,691 = 767,691 : x
  2. Step 2: Convert to fraction form
    349,947/767,691 = 767,691/x
  3. Step 3: Cross multiply
    349,947x = 767,691 × 767,691
  4. Step 4: Simplify right side
    349,947x = 589,349,471,481
  5. Step 5: Solve for x
    x = 589,349,471,481/349,947
  6. Step 6: Final answer
    x = 1,684,110.66

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Why These Related Problems?

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