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Finding the Third Proportional to 272,774 and 592,760

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Solution

The third proportional to 272,774 and 592,760 is: 1,288,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,774 : 592,760 = 592,760 : x
  2. Step 2: Convert to fraction form
    272,774/592,760 = 592,760/x
  3. Step 3: Cross multiply
    272,774x = 592,760 × 592,760
  4. Step 4: Simplify right side
    272,774x = 351,364,417,600
  5. Step 5: Solve for x
    x = 351,364,417,600/272,774
  6. Step 6: Final answer
    x = 1,288,115.50

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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.