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Finding the Third Proportional to 677.53 and 977.06

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Solution

The third proportional to 677.53 and 977.06 is: 1,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.53 : 977.06 = 977.06 : x
  2. Step 2: Convert to fraction form
    677.53/977.06 = 977.06/x
  3. Step 3: Cross multiply
    677.53x = 977.06 × 977.06
  4. Step 4: Simplify right side
    677.53x = 954,651.13
  5. Step 5: Solve for x
    x = 954,651.13/677.53
  6. Step 6: Final answer
    x = 1,409.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.