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Finding the Third Proportional to 247,988 and 540,262

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Solution

The third proportional to 247,988 and 540,262 is: 1,177,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,988 : 540,262 = 540,262 : x
  2. Step 2: Convert to fraction form
    247,988/540,262 = 540,262/x
  3. Step 3: Cross multiply
    247,988x = 540,262 × 540,262
  4. Step 4: Simplify right side
    247,988x = 291,883,028,644
  5. Step 5: Solve for x
    x = 291,883,028,644/247,988
  6. Step 6: Final answer
    x = 1,177,004.65

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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.