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Finding the Third Proportional to 349,210 and 533,952

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Solution

The third proportional to 349,210 and 533,952 is: 816,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,210 : 533,952 = 533,952 : x
  2. Step 2: Convert to fraction form
    349,210/533,952 = 533,952/x
  3. Step 3: Cross multiply
    349,210x = 533,952 × 533,952
  4. Step 4: Simplify right side
    349,210x = 285,104,738,304
  5. Step 5: Solve for x
    x = 285,104,738,304/349,210
  6. Step 6: Final answer
    x = 816,427.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.