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Finding the Third Proportional to 516,683.25 and 754,611.75

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Solution

The third proportional to 516,683.25 and 754,611.75 is: 1,102,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,683.25 : 754,611.75 = 754,611.75 : x
  2. Step 2: Convert to fraction form
    516,683.25/754,611.75 = 754,611.75/x
  3. Step 3: Cross multiply
    516,683.25x = 754,611.75 × 754,611.75
  4. Step 4: Simplify right side
    516,683.25x = 569,438,893,238.06
  5. Step 5: Solve for x
    x = 569,438,893,238.06/516,683.25
  6. Step 6: Final answer
    x = 1,102,104.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.