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Finding the Third Proportional to 977.70 and 1,784.53

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Solution

The third proportional to 977.70 and 1,784.53 is: 3,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.70 : 1,784.53 = 1,784.53 : x
  2. Step 2: Convert to fraction form
    977.70/1,784.53 = 1,784.53/x
  3. Step 3: Cross multiply
    977.70x = 1,784.53 × 1,784.53
  4. Step 4: Simplify right side
    977.70x = 3,184,551.78
  5. Step 5: Solve for x
    x = 3,184,551.78/977.70
  6. Step 6: Final answer
    x = 3,257.20

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.