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Finding the Third Proportional to 325,576 and 703,789

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Solution

The third proportional to 325,576 and 703,789 is: 1,521,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,576 : 703,789 = 703,789 : x
  2. Step 2: Convert to fraction form
    325,576/703,789 = 703,789/x
  3. Step 3: Cross multiply
    325,576x = 703,789 × 703,789
  4. Step 4: Simplify right side
    325,576x = 495,318,956,521
  5. Step 5: Solve for x
    x = 495,318,956,521/325,576
  6. Step 6: Final answer
    x = 1,521,362.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.