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Finding the Third Proportional to 272,060 and 592,304

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Solution

The third proportional to 272,060 and 592,304 is: 1,289,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,060 : 592,304 = 592,304 : x
  2. Step 2: Convert to fraction form
    272,060/592,304 = 592,304/x
  3. Step 3: Cross multiply
    272,060x = 592,304 × 592,304
  4. Step 4: Simplify right side
    272,060x = 350,824,028,416
  5. Step 5: Solve for x
    x = 350,824,028,416/272,060
  6. Step 6: Final answer
    x = 1,289,509.77

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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.