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Finding the Third Proportional to 368,666 and 752,884

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Solution

The third proportional to 368,666 and 752,884 is: 1,537,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,666 : 752,884 = 752,884 : x
  2. Step 2: Convert to fraction form
    368,666/752,884 = 752,884/x
  3. Step 3: Cross multiply
    368,666x = 752,884 × 752,884
  4. Step 4: Simplify right side
    368,666x = 566,834,317,456
  5. Step 5: Solve for x
    x = 566,834,317,456/368,666
  6. Step 6: Final answer
    x = 1,537,528.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.