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Finding the Third Proportional to 349,743 and 524,620

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Solution

The third proportional to 349,743 and 524,620 is: 786,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,743 : 524,620 = 524,620 : x
  2. Step 2: Convert to fraction form
    349,743/524,620 = 524,620/x
  3. Step 3: Cross multiply
    349,743x = 524,620 × 524,620
  4. Step 4: Simplify right side
    349,743x = 275,226,144,400
  5. Step 5: Solve for x
    x = 275,226,144,400/349,743
  6. Step 6: Final answer
    x = 786,938.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.