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Finding the Third Proportional to 252,966.50 and 538,705

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Solution

The third proportional to 252,966.50 and 538,705 is: 1,147,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,966.50 : 538,705 = 538,705 : x
  2. Step 2: Convert to fraction form
    252,966.50/538,705 = 538,705/x
  3. Step 3: Cross multiply
    252,966.50x = 538,705 × 538,705
  4. Step 4: Simplify right side
    252,966.50x = 290,203,077,025
  5. Step 5: Solve for x
    x = 290,203,077,025/252,966.50
  6. Step 6: Final answer
    x = 1,147,199.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.