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Finding the Third Proportional to 624.75 and 956.06

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Solution

The third proportional to 624.75 and 956.06 is: 1,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.75 : 956.06 = 956.06 : x
  2. Step 2: Convert to fraction form
    624.75/956.06 = 956.06/x
  3. Step 3: Cross multiply
    624.75x = 956.06 × 956.06
  4. Step 4: Simplify right side
    624.75x = 914,055.50
  5. Step 5: Solve for x
    x = 914,055.50/624.75
  6. Step 6: Final answer
    x = 1,463.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.