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Finding the Third Proportional to 532,961.65 and 820,027.23

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Solution

The third proportional to 532,961.65 and 820,027.23 is: 1,261,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,961.65 : 820,027.23 = 820,027.23 : x
  2. Step 2: Convert to fraction form
    532,961.65/820,027.23 = 820,027.23/x
  3. Step 3: Cross multiply
    532,961.65x = 820,027.23 × 820,027.23
  4. Step 4: Simplify right side
    532,961.65x = 672,444,658,710.25
  5. Step 5: Solve for x
    x = 672,444,658,710.25/532,961.65
  6. Step 6: Final answer
    x = 1,261,713.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.