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Finding the Third Proportional to 296,875.13 and 647,034.75

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Solution

The third proportional to 296,875.13 and 647,034.75 is: 1,410,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,875.13 : 647,034.75 = 647,034.75 : x
  2. Step 2: Convert to fraction form
    296,875.13/647,034.75 = 647,034.75/x
  3. Step 3: Cross multiply
    296,875.13x = 647,034.75 × 647,034.75
  4. Step 4: Simplify right side
    296,875.13x = 418,653,967,707.56
  5. Step 5: Solve for x
    x = 418,653,967,707.56/296,875.13
  6. Step 6: Final answer
    x = 1,410,202.24

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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.