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Finding the Third Proportional to 620.16 and 1,347.89

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Solution

The third proportional to 620.16 and 1,347.89 is: 2,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 1,347.89 = 1,347.89 : x
  2. Step 2: Convert to fraction form
    620.16/1,347.89 = 1,347.89/x
  3. Step 3: Cross multiply
    620.16x = 1,347.89 × 1,347.89
  4. Step 4: Simplify right side
    620.16x = 1,816,809.14
  5. Step 5: Solve for x
    x = 1,816,809.14/620.16
  6. Step 6: Final answer
    x = 2,929.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.