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Finding the Third Proportional to 779.06 and 1,710

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Solution

The third proportional to 779.06 and 1,710 is: 3,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.06 : 1,710 = 1,710 : x
  2. Step 2: Convert to fraction form
    779.06/1,710 = 1,710/x
  3. Step 3: Cross multiply
    779.06x = 1,710 × 1,710
  4. Step 4: Simplify right side
    779.06x = 2,924,100
  5. Step 5: Solve for x
    x = 2,924,100/779.06
  6. Step 6: Final answer
    x = 3,753.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.