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Finding the Third Proportional to 272,918 and 592,456

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Solution

The third proportional to 272,918 and 592,456 is: 1,286,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,918 : 592,456 = 592,456 : x
  2. Step 2: Convert to fraction form
    272,918/592,456 = 592,456/x
  3. Step 3: Cross multiply
    272,918x = 592,456 × 592,456
  4. Step 4: Simplify right side
    272,918x = 351,004,111,936
  5. Step 5: Solve for x
    x = 351,004,111,936/272,918
  6. Step 6: Final answer
    x = 1,286,115.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.