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Finding the Third Proportional to 272,858 and 590,554

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Solution

The third proportional to 272,858 and 590,554 is: 1,278,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,858 : 590,554 = 590,554 : x
  2. Step 2: Convert to fraction form
    272,858/590,554 = 590,554/x
  3. Step 3: Cross multiply
    272,858x = 590,554 × 590,554
  4. Step 4: Simplify right side
    272,858x = 348,754,026,916
  5. Step 5: Solve for x
    x = 348,754,026,916/272,858
  6. Step 6: Final answer
    x = 1,278,152.10

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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.