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Finding the Third Proportional to 904.13 and 1,034.63

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Solution

The third proportional to 904.13 and 1,034.63 is: 1,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.13 : 1,034.63 = 1,034.63 : x
  2. Step 2: Convert to fraction form
    904.13/1,034.63 = 1,034.63/x
  3. Step 3: Cross multiply
    904.13x = 1,034.63 × 1,034.63
  4. Step 4: Simplify right side
    904.13x = 1,070,448.89
  5. Step 5: Solve for x
    x = 1,070,448.89/904.13
  6. Step 6: Final answer
    x = 1,183.96

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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.