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Finding the Third Proportional to 304,186.13 and 704,168.63

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Solution

The third proportional to 304,186.13 and 704,168.63 is: 1,630,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,186.13 : 704,168.63 = 704,168.63 : x
  2. Step 2: Convert to fraction form
    304,186.13/704,168.63 = 704,168.63/x
  3. Step 3: Cross multiply
    304,186.13x = 704,168.63 × 704,168.63
  4. Step 4: Simplify right side
    304,186.13x = 495,853,452,434.39
  5. Step 5: Solve for x
    x = 495,853,452,434.39/304,186.13
  6. Step 6: Final answer
    x = 1,630,098.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.