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Finding the Third Proportional to 304,189.50 and 704,176.13

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Solution

The third proportional to 304,189.50 and 704,176.13 is: 1,630,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,189.50 : 704,176.13 = 704,176.13 : x
  2. Step 2: Convert to fraction form
    304,189.50/704,176.13 = 704,176.13/x
  3. Step 3: Cross multiply
    304,189.50x = 704,176.13 × 704,176.13
  4. Step 4: Simplify right side
    304,189.50x = 495,864,015,020.02
  5. Step 5: Solve for x
    x = 495,864,015,020.02/304,189.50
  6. Step 6: Final answer
    x = 1,630,115.49

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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.