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Finding the Third Proportional to 349,016 and 553,548

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Solution

The third proportional to 349,016 and 553,548 is: 877,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,016 : 553,548 = 553,548 : x
  2. Step 2: Convert to fraction form
    349,016/553,548 = 553,548/x
  3. Step 3: Cross multiply
    349,016x = 553,548 × 553,548
  4. Step 4: Simplify right side
    349,016x = 306,415,388,304
  5. Step 5: Solve for x
    x = 306,415,388,304/349,016
  6. Step 6: Final answer
    x = 877,940.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.