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Finding the Third Proportional to 272,945 and 592,510

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Solution

The third proportional to 272,945 and 592,510 is: 1,286,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,945 : 592,510 = 592,510 : x
  2. Step 2: Convert to fraction form
    272,945/592,510 = 592,510/x
  3. Step 3: Cross multiply
    272,945x = 592,510 × 592,510
  4. Step 4: Simplify right side
    272,945x = 351,068,100,100
  5. Step 5: Solve for x
    x = 351,068,100,100/272,945
  6. Step 6: Final answer
    x = 1,286,222.87

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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.