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Finding the Third Proportional to 351,566 and 761,452

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Solution

The third proportional to 351,566 and 761,452 is: 1,649,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,566 : 761,452 = 761,452 : x
  2. Step 2: Convert to fraction form
    351,566/761,452 = 761,452/x
  3. Step 3: Cross multiply
    351,566x = 761,452 × 761,452
  4. Step 4: Simplify right side
    351,566x = 579,809,148,304
  5. Step 5: Solve for x
    x = 579,809,148,304/351,566
  6. Step 6: Final answer
    x = 1,649,218.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.