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Finding the Third Proportional to 749.63 and 957.75

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Solution

The third proportional to 749.63 and 957.75 is: 1,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.63 : 957.75 = 957.75 : x
  2. Step 2: Convert to fraction form
    749.63/957.75 = 957.75/x
  3. Step 3: Cross multiply
    749.63x = 957.75 × 957.75
  4. Step 4: Simplify right side
    749.63x = 917,285.06
  5. Step 5: Solve for x
    x = 917,285.06/749.63
  6. Step 6: Final answer
    x = 1,223.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.