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Finding the Third Proportional to 601,013.25 and 859,393.13

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Solution

The third proportional to 601,013.25 and 859,393.13 is: 1,228,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,013.25 : 859,393.13 = 859,393.13 : x
  2. Step 2: Convert to fraction form
    601,013.25/859,393.13 = 859,393.13/x
  3. Step 3: Cross multiply
    601,013.25x = 859,393.13 × 859,393.13
  4. Step 4: Simplify right side
    601,013.25x = 738,556,543,297.27
  5. Step 5: Solve for x
    x = 738,556,543,297.27/601,013.25
  6. Step 6: Final answer
    x = 1,228,852.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.