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Finding the Third Proportional to 402,099.75 and 865,980

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Solution

The third proportional to 402,099.75 and 865,980 is: 1,865,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,099.75 : 865,980 = 865,980 : x
  2. Step 2: Convert to fraction form
    402,099.75/865,980 = 865,980/x
  3. Step 3: Cross multiply
    402,099.75x = 865,980 × 865,980
  4. Step 4: Simplify right side
    402,099.75x = 749,921,360,400
  5. Step 5: Solve for x
    x = 749,921,360,400/402,099.75
  6. Step 6: Final answer
    x = 1,865,013.25

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