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Finding the Third Proportional to 784.90 and 1,193.06

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Solution

The third proportional to 784.90 and 1,193.06 is: 1,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.90 : 1,193.06 = 1,193.06 : x
  2. Step 2: Convert to fraction form
    784.90/1,193.06 = 1,193.06/x
  3. Step 3: Cross multiply
    784.90x = 1,193.06 × 1,193.06
  4. Step 4: Simplify right side
    784.90x = 1,423,398.13
  5. Step 5: Solve for x
    x = 1,423,398.13/784.90
  6. Step 6: Final answer
    x = 1,813.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.