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Finding the Third Proportional to 252,912.09 and 529,207.88

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Solution

The third proportional to 252,912.09 and 529,207.88 is: 1,107,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,912.09 : 529,207.88 = 529,207.88 : x
  2. Step 2: Convert to fraction form
    252,912.09/529,207.88 = 529,207.88/x
  3. Step 3: Cross multiply
    252,912.09x = 529,207.88 × 529,207.88
  4. Step 4: Simplify right side
    252,912.09x = 280,060,974,962.02
  5. Step 5: Solve for x
    x = 280,060,974,962.02/252,912.09
  6. Step 6: Final answer
    x = 1,107,345.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.