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Finding the Third Proportional to 247,305 and 533,001

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Solution

The third proportional to 247,305 and 533,001 is: 1,148,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,305 : 533,001 = 533,001 : x
  2. Step 2: Convert to fraction form
    247,305/533,001 = 533,001/x
  3. Step 3: Cross multiply
    247,305x = 533,001 × 533,001
  4. Step 4: Simplify right side
    247,305x = 284,090,066,001
  5. Step 5: Solve for x
    x = 284,090,066,001/247,305
  6. Step 6: Final answer
    x = 1,148,743.72

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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.