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Finding the Third Proportional to 349,567 and 765,829

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Solution

The third proportional to 349,567 and 765,829 is: 1,677,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,567 : 765,829 = 765,829 : x
  2. Step 2: Convert to fraction form
    349,567/765,829 = 765,829/x
  3. Step 3: Cross multiply
    349,567x = 765,829 × 765,829
  4. Step 4: Simplify right side
    349,567x = 586,494,057,241
  5. Step 5: Solve for x
    x = 586,494,057,241/349,567
  6. Step 6: Final answer
    x = 1,677,772.95

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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.