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Finding the Third Proportional to 268,542 and 592,967.25

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Solution

The third proportional to 268,542 and 592,967.25 is: 1,309,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,542 : 592,967.25 = 592,967.25 : x
  2. Step 2: Convert to fraction form
    268,542/592,967.25 = 592,967.25/x
  3. Step 3: Cross multiply
    268,542x = 592,967.25 × 592,967.25
  4. Step 4: Simplify right side
    268,542x = 351,610,159,572.56
  5. Step 5: Solve for x
    x = 351,610,159,572.56/268,542
  6. Step 6: Final answer
    x = 1,309,330.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.