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Finding the Third Proportional to 321,117.75 and 500,060.25

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Solution

The third proportional to 321,117.75 and 500,060.25 is: 778,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,117.75 : 500,060.25 = 500,060.25 : x
  2. Step 2: Convert to fraction form
    321,117.75/500,060.25 = 500,060.25/x
  3. Step 3: Cross multiply
    321,117.75x = 500,060.25 × 500,060.25
  4. Step 4: Simplify right side
    321,117.75x = 250,060,253,630.06
  5. Step 5: Solve for x
    x = 250,060,253,630.06/321,117.75
  6. Step 6: Final answer
    x = 778,718.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.