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Finding the Third Proportional to 290,810 and 627,446

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Solution

The third proportional to 290,810 and 627,446 is: 1,353,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,810 : 627,446 = 627,446 : x
  2. Step 2: Convert to fraction form
    290,810/627,446 = 627,446/x
  3. Step 3: Cross multiply
    290,810x = 627,446 × 627,446
  4. Step 4: Simplify right side
    290,810x = 393,688,482,916
  5. Step 5: Solve for x
    x = 393,688,482,916/290,810
  6. Step 6: Final answer
    x = 1,353,765.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.