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Finding the Third Proportional to 291,820 and 627,230

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Solution

The third proportional to 291,820 and 627,230 is: 1,348,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,820 : 627,230 = 627,230 : x
  2. Step 2: Convert to fraction form
    291,820/627,230 = 627,230/x
  3. Step 3: Cross multiply
    291,820x = 627,230 × 627,230
  4. Step 4: Simplify right side
    291,820x = 393,417,472,900
  5. Step 5: Solve for x
    x = 393,417,472,900/291,820
  6. Step 6: Final answer
    x = 1,348,151.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.