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Finding the Third Proportional to 848.72 and 1,264.03

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Solution

The third proportional to 848.72 and 1,264.03 is: 1,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.72 : 1,264.03 = 1,264.03 : x
  2. Step 2: Convert to fraction form
    848.72/1,264.03 = 1,264.03/x
  3. Step 3: Cross multiply
    848.72x = 1,264.03 × 1,264.03
  4. Step 4: Simplify right side
    848.72x = 1,597,775.00
  5. Step 5: Solve for x
    x = 1,597,775.00/848.72
  6. Step 6: Final answer
    x = 1,882.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.