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Finding the Third Proportional to 547,272 and 791,904

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Solution

The third proportional to 547,272 and 791,904 is: 1,145,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,272 : 791,904 = 791,904 : x
  2. Step 2: Convert to fraction form
    547,272/791,904 = 791,904/x
  3. Step 3: Cross multiply
    547,272x = 791,904 × 791,904
  4. Step 4: Simplify right side
    547,272x = 627,111,945,216
  5. Step 5: Solve for x
    x = 627,111,945,216/547,272
  6. Step 6: Final answer
    x = 1,145,887.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.