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Finding the Third Proportional to 701.56 and 1,038.75

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Solution

The third proportional to 701.56 and 1,038.75 is: 1,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.56 : 1,038.75 = 1,038.75 : x
  2. Step 2: Convert to fraction form
    701.56/1,038.75 = 1,038.75/x
  3. Step 3: Cross multiply
    701.56x = 1,038.75 × 1,038.75
  4. Step 4: Simplify right side
    701.56x = 1,079,001.56
  5. Step 5: Solve for x
    x = 1,079,001.56/701.56
  6. Step 6: Final answer
    x = 1,538.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.