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Finding the Third Proportional to 325,551 and 709,908

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Solution

The third proportional to 325,551 and 709,908 is: 1,548,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,551 : 709,908 = 709,908 : x
  2. Step 2: Convert to fraction form
    325,551/709,908 = 709,908/x
  3. Step 3: Cross multiply
    325,551x = 709,908 × 709,908
  4. Step 4: Simplify right side
    325,551x = 503,969,368,464
  5. Step 5: Solve for x
    x = 503,969,368,464/325,551
  6. Step 6: Final answer
    x = 1,548,050.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.