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Finding the Third Proportional to 368,664 and 752,880

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Solution

The third proportional to 368,664 and 752,880 is: 1,537,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,664 : 752,880 = 752,880 : x
  2. Step 2: Convert to fraction form
    368,664/752,880 = 752,880/x
  3. Step 3: Cross multiply
    368,664x = 752,880 × 752,880
  4. Step 4: Simplify right side
    368,664x = 566,828,294,400
  5. Step 5: Solve for x
    x = 566,828,294,400/368,664
  6. Step 6: Final answer
    x = 1,537,520.06

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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.