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Finding the Third Proportional to 272,816 and 592,282

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Solution

The third proportional to 272,816 and 592,282 is: 1,285,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,816 : 592,282 = 592,282 : x
  2. Step 2: Convert to fraction form
    272,816/592,282 = 592,282/x
  3. Step 3: Cross multiply
    272,816x = 592,282 × 592,282
  4. Step 4: Simplify right side
    272,816x = 350,797,967,524
  5. Step 5: Solve for x
    x = 350,797,967,524/272,816
  6. Step 6: Final answer
    x = 1,285,840.89

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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.