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Finding the Third Proportional to 707.17 and 1,535.84

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Solution

The third proportional to 707.17 and 1,535.84 is: 3,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.17 : 1,535.84 = 1,535.84 : x
  2. Step 2: Convert to fraction form
    707.17/1,535.84 = 1,535.84/x
  3. Step 3: Cross multiply
    707.17x = 1,535.84 × 1,535.84
  4. Step 4: Simplify right side
    707.17x = 2,358,792.03
  5. Step 5: Solve for x
    x = 2,358,792.03/707.17
  6. Step 6: Final answer
    x = 3,335.55

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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.