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Finding the Third Proportional to 349,563 and 744,882

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Solution

The third proportional to 349,563 and 744,882 is: 1,587,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,563 : 744,882 = 744,882 : x
  2. Step 2: Convert to fraction form
    349,563/744,882 = 744,882/x
  3. Step 3: Cross multiply
    349,563x = 744,882 × 744,882
  4. Step 4: Simplify right side
    349,563x = 554,849,193,924
  5. Step 5: Solve for x
    x = 554,849,193,924/349,563
  6. Step 6: Final answer
    x = 1,587,265.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.