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Finding the Third Proportional to 243,435 and 525,750

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Solution

The third proportional to 243,435 and 525,750 is: 1,135,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,435 : 525,750 = 525,750 : x
  2. Step 2: Convert to fraction form
    243,435/525,750 = 525,750/x
  3. Step 3: Cross multiply
    243,435x = 525,750 × 525,750
  4. Step 4: Simplify right side
    243,435x = 276,413,062,500
  5. Step 5: Solve for x
    x = 276,413,062,500/243,435
  6. Step 6: Final answer
    x = 1,135,469.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.