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Finding the Third Proportional to 287,068 and 610,422

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Solution

The third proportional to 287,068 and 610,422 is: 1,298,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,068 : 610,422 = 610,422 : x
  2. Step 2: Convert to fraction form
    287,068/610,422 = 610,422/x
  3. Step 3: Cross multiply
    287,068x = 610,422 × 610,422
  4. Step 4: Simplify right side
    287,068x = 372,615,018,084
  5. Step 5: Solve for x
    x = 372,615,018,084/287,068
  6. Step 6: Final answer
    x = 1,298,002.63

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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.