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Finding the Third Proportional to 273,358 and 591,644

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Solution

The third proportional to 273,358 and 591,644 is: 1,280,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,358 : 591,644 = 591,644 : x
  2. Step 2: Convert to fraction form
    273,358/591,644 = 591,644/x
  3. Step 3: Cross multiply
    273,358x = 591,644 × 591,644
  4. Step 4: Simplify right side
    273,358x = 350,042,622,736
  5. Step 5: Solve for x
    x = 350,042,622,736/273,358
  6. Step 6: Final answer
    x = 1,280,528.18

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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.