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Finding the Third Proportional to 265,623 and 394,672.50

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Solution

The third proportional to 265,623 and 394,672.50 is: 586,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,623 : 394,672.50 = 394,672.50 : x
  2. Step 2: Convert to fraction form
    265,623/394,672.50 = 394,672.50/x
  3. Step 3: Cross multiply
    265,623x = 394,672.50 × 394,672.50
  4. Step 4: Simplify right side
    265,623x = 155,766,382,256.25
  5. Step 5: Solve for x
    x = 155,766,382,256.25/265,623
  6. Step 6: Final answer
    x = 586,419.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.