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Finding the Third Proportional to 714.66 and 1,085.06

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Solution

The third proportional to 714.66 and 1,085.06 is: 1,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.66 : 1,085.06 = 1,085.06 : x
  2. Step 2: Convert to fraction form
    714.66/1,085.06 = 1,085.06/x
  3. Step 3: Cross multiply
    714.66x = 1,085.06 × 1,085.06
  4. Step 4: Simplify right side
    714.66x = 1,177,360.63
  5. Step 5: Solve for x
    x = 1,177,360.63/714.66
  6. Step 6: Final answer
    x = 1,647.45

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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.