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Finding the Third Proportional to 977.63 and 1,477.13

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Solution

The third proportional to 977.63 and 1,477.13 is: 2,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.63 : 1,477.13 = 1,477.13 : x
  2. Step 2: Convert to fraction form
    977.63/1,477.13 = 1,477.13/x
  3. Step 3: Cross multiply
    977.63x = 1,477.13 × 1,477.13
  4. Step 4: Simplify right side
    977.63x = 2,181,898.27
  5. Step 5: Solve for x
    x = 2,181,898.27/977.63
  6. Step 6: Final answer
    x = 2,231.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.