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Finding the Third Proportional to 412.59 and 904.92

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Solution

The third proportional to 412.59 and 904.92 is: 1,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 904.92 = 904.92 : x
  2. Step 2: Convert to fraction form
    412.59/904.92 = 904.92/x
  3. Step 3: Cross multiply
    412.59x = 904.92 × 904.92
  4. Step 4: Simplify right side
    412.59x = 818,883.60
  5. Step 5: Solve for x
    x = 818,883.60/412.59
  6. Step 6: Final answer
    x = 1,984.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.