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Finding the Third Proportional to 352,743 and 532,297.50

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Solution

The third proportional to 352,743 and 532,297.50 is: 803,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,743 : 532,297.50 = 532,297.50 : x
  2. Step 2: Convert to fraction form
    352,743/532,297.50 = 532,297.50/x
  3. Step 3: Cross multiply
    352,743x = 532,297.50 × 532,297.50
  4. Step 4: Simplify right side
    352,743x = 283,340,628,506.25
  5. Step 5: Solve for x
    x = 283,340,628,506.25/352,743
  6. Step 6: Final answer
    x = 803,249.47

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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.