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Finding the Third Proportional to 416,522.25 and 865,778.63

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Solution

The third proportional to 416,522.25 and 865,778.63 is: 1,799,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,522.25 : 865,778.63 = 865,778.63 : x
  2. Step 2: Convert to fraction form
    416,522.25/865,778.63 = 865,778.63/x
  3. Step 3: Cross multiply
    416,522.25x = 865,778.63 × 865,778.63
  4. Step 4: Simplify right side
    416,522.25x = 749,572,627,506.89
  5. Step 5: Solve for x
    x = 749,572,627,506.89/416,522.25
  6. Step 6: Final answer
    x = 1,799,598.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.