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Finding the Third Proportional to 295,491 and 627,909

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Solution

The third proportional to 295,491 and 627,909 is: 1,334,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,491 : 627,909 = 627,909 : x
  2. Step 2: Convert to fraction form
    295,491/627,909 = 627,909/x
  3. Step 3: Cross multiply
    295,491x = 627,909 × 627,909
  4. Step 4: Simplify right side
    295,491x = 394,269,712,281
  5. Step 5: Solve for x
    x = 394,269,712,281/295,491
  6. Step 6: Final answer
    x = 1,334,286.70

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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.