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Finding the Third Proportional to 255,398.25 and 560,611.13

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Solution

The third proportional to 255,398.25 and 560,611.13 is: 1,230,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,398.25 : 560,611.13 = 560,611.13 : x
  2. Step 2: Convert to fraction form
    255,398.25/560,611.13 = 560,611.13/x
  3. Step 3: Cross multiply
    255,398.25x = 560,611.13 × 560,611.13
  4. Step 4: Simplify right side
    255,398.25x = 314,284,833,473.77
  5. Step 5: Solve for x
    x = 314,284,833,473.77/255,398.25
  6. Step 6: Final answer
    x = 1,230,567.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.