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Finding the Third Proportional to 349,229 and 517,297.50

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Solution

The third proportional to 349,229 and 517,297.50 is: 766,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,229 : 517,297.50 = 517,297.50 : x
  2. Step 2: Convert to fraction form
    349,229/517,297.50 = 517,297.50/x
  3. Step 3: Cross multiply
    349,229x = 517,297.50 × 517,297.50
  4. Step 4: Simplify right side
    349,229x = 267,596,703,506.25
  5. Step 5: Solve for x
    x = 267,596,703,506.25/349,229
  6. Step 6: Final answer
    x = 766,249.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.