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Finding the Third Proportional to 783.56 and 1,159.31

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Solution

The third proportional to 783.56 and 1,159.31 is: 1,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.56 : 1,159.31 = 1,159.31 : x
  2. Step 2: Convert to fraction form
    783.56/1,159.31 = 1,159.31/x
  3. Step 3: Cross multiply
    783.56x = 1,159.31 × 1,159.31
  4. Step 4: Simplify right side
    783.56x = 1,344,005.47
  5. Step 5: Solve for x
    x = 1,344,005.47/783.56
  6. Step 6: Final answer
    x = 1,715.25

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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.