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Finding the Third Proportional to 977.63 and 1,465.88

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Solution

The third proportional to 977.63 and 1,465.88 is: 2,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.63 : 1,465.88 = 1,465.88 : x
  2. Step 2: Convert to fraction form
    977.63/1,465.88 = 1,465.88/x
  3. Step 3: Cross multiply
    977.63x = 1,465.88 × 1,465.88
  4. Step 4: Simplify right side
    977.63x = 2,148,789.52
  5. Step 5: Solve for x
    x = 2,148,789.52/977.63
  6. Step 6: Final answer
    x = 2,197.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.