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Finding the Third Proportional to 977.63 and 1,519.88

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Solution

The third proportional to 977.63 and 1,519.88 is: 2,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.63 : 1,519.88 = 1,519.88 : x
  2. Step 2: Convert to fraction form
    977.63/1,519.88 = 1,519.88/x
  3. Step 3: Cross multiply
    977.63x = 1,519.88 × 1,519.88
  4. Step 4: Simplify right side
    977.63x = 2,310,020.02
  5. Step 5: Solve for x
    x = 2,310,020.02/977.63
  6. Step 6: Final answer
    x = 2,362.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.