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Finding the Third Proportional to 270,139 and 582,175

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Solution

The third proportional to 270,139 and 582,175 is: 1,254,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,139 : 582,175 = 582,175 : x
  2. Step 2: Convert to fraction form
    270,139/582,175 = 582,175/x
  3. Step 3: Cross multiply
    270,139x = 582,175 × 582,175
  4. Step 4: Simplify right side
    270,139x = 338,927,730,625
  5. Step 5: Solve for x
    x = 338,927,730,625/270,139
  6. Step 6: Final answer
    x = 1,254,641.98

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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.