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Finding the Third Proportional to 326,085.75 and 486,118.13

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Solution

The third proportional to 326,085.75 and 486,118.13 is: 724,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,085.75 : 486,118.13 = 486,118.13 : x
  2. Step 2: Convert to fraction form
    326,085.75/486,118.13 = 486,118.13/x
  3. Step 3: Cross multiply
    326,085.75x = 486,118.13 × 486,118.13
  4. Step 4: Simplify right side
    326,085.75x = 236,310,831,453.52
  5. Step 5: Solve for x
    x = 236,310,831,453.52/326,085.75
  6. Step 6: Final answer
    x = 724,689.23

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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.