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Finding the Third Proportional to 886.04 and 1,458.84

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Solution

The third proportional to 886.04 and 1,458.84 is: 2,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.04 : 1,458.84 = 1,458.84 : x
  2. Step 2: Convert to fraction form
    886.04/1,458.84 = 1,458.84/x
  3. Step 3: Cross multiply
    886.04x = 1,458.84 × 1,458.84
  4. Step 4: Simplify right side
    886.04x = 2,128,225.09
  5. Step 5: Solve for x
    x = 2,128,225.09/886.04
  6. Step 6: Final answer
    x = 2,401.94

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.