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Finding the Third Proportional to 243,060 and 533,928

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Solution

The third proportional to 243,060 and 533,928 is: 1,172,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,060 : 533,928 = 533,928 : x
  2. Step 2: Convert to fraction form
    243,060/533,928 = 533,928/x
  3. Step 3: Cross multiply
    243,060x = 533,928 × 533,928
  4. Step 4: Simplify right side
    243,060x = 285,079,109,184
  5. Step 5: Solve for x
    x = 285,079,109,184/243,060
  6. Step 6: Final answer
    x = 1,172,875.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.