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Finding the Third Proportional to 272,815 and 592,853

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Solution

The third proportional to 272,815 and 592,853 is: 1,288,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,815 : 592,853 = 592,853 : x
  2. Step 2: Convert to fraction form
    272,815/592,853 = 592,853/x
  3. Step 3: Cross multiply
    272,815x = 592,853 × 592,853
  4. Step 4: Simplify right side
    272,815x = 351,474,679,609
  5. Step 5: Solve for x
    x = 351,474,679,609/272,815
  6. Step 6: Final answer
    x = 1,288,326.08

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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.