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Finding the Third Proportional to 386,437.50 and 830,016

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Solution

The third proportional to 386,437.50 and 830,016 is: 1,782,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,437.50 : 830,016 = 830,016 : x
  2. Step 2: Convert to fraction form
    386,437.50/830,016 = 830,016/x
  3. Step 3: Cross multiply
    386,437.50x = 830,016 × 830,016
  4. Step 4: Simplify right side
    386,437.50x = 688,926,560,256
  5. Step 5: Solve for x
    x = 688,926,560,256/386,437.50
  6. Step 6: Final answer
    x = 1,782,763.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.