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Finding the Third Proportional to 1,464.59 and 2,358.48

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Solution

The third proportional to 1,464.59 and 2,358.48 is: 3,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.59 : 2,358.48 = 2,358.48 : x
  2. Step 2: Convert to fraction form
    1,464.59/2,358.48 = 2,358.48/x
  3. Step 3: Cross multiply
    1,464.59x = 2,358.48 × 2,358.48
  4. Step 4: Simplify right side
    1,464.59x = 5,562,438.76
  5. Step 5: Solve for x
    x = 5,562,438.76/1,464.59
  6. Step 6: Final answer
    x = 3,797.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.