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Finding the Third Proportional to 295,527 and 627,882

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Solution

The third proportional to 295,527 and 627,882 is: 1,334,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,527 : 627,882 = 627,882 : x
  2. Step 2: Convert to fraction form
    295,527/627,882 = 627,882/x
  3. Step 3: Cross multiply
    295,527x = 627,882 × 627,882
  4. Step 4: Simplify right side
    295,527x = 394,235,805,924
  5. Step 5: Solve for x
    x = 394,235,805,924/295,527
  6. Step 6: Final answer
    x = 1,334,009.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.