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Finding the Third Proportional to 1,334.63 and 1,519.13

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Solution

The third proportional to 1,334.63 and 1,519.13 is: 1,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.63 : 1,519.13 = 1,519.13 : x
  2. Step 2: Convert to fraction form
    1,334.63/1,519.13 = 1,519.13/x
  3. Step 3: Cross multiply
    1,334.63x = 1,519.13 × 1,519.13
  4. Step 4: Simplify right side
    1,334.63x = 2,307,740.77
  5. Step 5: Solve for x
    x = 2,307,740.77/1,334.63
  6. Step 6: Final answer
    x = 1,729.13

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.