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Finding the Third Proportional to 349,742 and 531,452

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Solution

The third proportional to 349,742 and 531,452 is: 807,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,742 : 531,452 = 531,452 : x
  2. Step 2: Convert to fraction form
    349,742/531,452 = 531,452/x
  3. Step 3: Cross multiply
    349,742x = 531,452 × 531,452
  4. Step 4: Simplify right side
    349,742x = 282,441,228,304
  5. Step 5: Solve for x
    x = 282,441,228,304/349,742
  6. Step 6: Final answer
    x = 807,570.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.