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Finding the Third Proportional to 343,421 and 752,452

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Solution

The third proportional to 343,421 and 752,452 is: 1,648,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,421 : 752,452 = 752,452 : x
  2. Step 2: Convert to fraction form
    343,421/752,452 = 752,452/x
  3. Step 3: Cross multiply
    343,421x = 752,452 × 752,452
  4. Step 4: Simplify right side
    343,421x = 566,184,012,304
  5. Step 5: Solve for x
    x = 566,184,012,304/343,421
  6. Step 6: Final answer
    x = 1,648,658.68

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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.