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Finding the Third Proportional to 272,938 and 587,348

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Solution

The third proportional to 272,938 and 587,348 is: 1,263,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,938 : 587,348 = 587,348 : x
  2. Step 2: Convert to fraction form
    272,938/587,348 = 587,348/x
  3. Step 3: Cross multiply
    272,938x = 587,348 × 587,348
  4. Step 4: Simplify right side
    272,938x = 344,977,673,104
  5. Step 5: Solve for x
    x = 344,977,673,104/272,938
  6. Step 6: Final answer
    x = 1,263,941.53

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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.