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Finding the Third Proportional to 252,988 and 533,840

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Solution

The third proportional to 252,988 and 533,840 is: 1,126,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,988 : 533,840 = 533,840 : x
  2. Step 2: Convert to fraction form
    252,988/533,840 = 533,840/x
  3. Step 3: Cross multiply
    252,988x = 533,840 × 533,840
  4. Step 4: Simplify right side
    252,988x = 284,985,145,600
  5. Step 5: Solve for x
    x = 284,985,145,600/252,988
  6. Step 6: Final answer
    x = 1,126,476.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.