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Finding the Third Proportional to 338,428.13 and 752,503.50

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Solution

The third proportional to 338,428.13 and 752,503.50 is: 1,673,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,428.13 : 752,503.50 = 752,503.50 : x
  2. Step 2: Convert to fraction form
    338,428.13/752,503.50 = 752,503.50/x
  3. Step 3: Cross multiply
    338,428.13x = 752,503.50 × 752,503.50
  4. Step 4: Simplify right side
    338,428.13x = 566,261,517,512.25
  5. Step 5: Solve for x
    x = 566,261,517,512.25/338,428.13
  6. Step 6: Final answer
    x = 1,673,210.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.