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Finding the Third Proportional to 272,032 and 592,240

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Solution

The third proportional to 272,032 and 592,240 is: 1,289,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,032 : 592,240 = 592,240 : x
  2. Step 2: Convert to fraction form
    272,032/592,240 = 592,240/x
  3. Step 3: Cross multiply
    272,032x = 592,240 × 592,240
  4. Step 4: Simplify right side
    272,032x = 350,748,217,600
  5. Step 5: Solve for x
    x = 350,748,217,600/272,032
  6. Step 6: Final answer
    x = 1,289,363.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.