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Finding the Third Proportional to 351,480.66 and 532,150.17

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Solution

The third proportional to 351,480.66 and 532,150.17 is: 805,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,480.66 : 532,150.17 = 532,150.17 : x
  2. Step 2: Convert to fraction form
    351,480.66/532,150.17 = 532,150.17/x
  3. Step 3: Cross multiply
    351,480.66x = 532,150.17 × 532,150.17
  4. Step 4: Simplify right side
    351,480.66x = 283,183,805,426.59
  5. Step 5: Solve for x
    x = 283,183,805,426.59/351,480.66
  6. Step 6: Final answer
    x = 805,688.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.