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Finding the Third Proportional to 287,703 and 425,976.75

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Solution

The third proportional to 287,703 and 425,976.75 is: 630,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,703 : 425,976.75 = 425,976.75 : x
  2. Step 2: Convert to fraction form
    287,703/425,976.75 = 425,976.75/x
  3. Step 3: Cross multiply
    287,703x = 425,976.75 × 425,976.75
  4. Step 4: Simplify right side
    287,703x = 181,456,191,540.56
  5. Step 5: Solve for x
    x = 181,456,191,540.56/287,703
  6. Step 6: Final answer
    x = 630,706.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.