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Finding the Third Proportional to 265,852.13 and 404,245.69

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Solution

The third proportional to 265,852.13 and 404,245.69 is: 614,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,852.13 : 404,245.69 = 404,245.69 : x
  2. Step 2: Convert to fraction form
    265,852.13/404,245.69 = 404,245.69/x
  3. Step 3: Cross multiply
    265,852.13x = 404,245.69 × 404,245.69
  4. Step 4: Simplify right side
    265,852.13x = 163,414,575,862.35
  5. Step 5: Solve for x
    x = 163,414,575,862.35/265,852.13
  6. Step 6: Final answer
    x = 614,682.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.