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Finding the Third Proportional to 677,747 and 903,560.50

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Solution

The third proportional to 677,747 and 903,560.50 is: 1,204,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,747 : 903,560.50 = 903,560.50 : x
  2. Step 2: Convert to fraction form
    677,747/903,560.50 = 903,560.50/x
  3. Step 3: Cross multiply
    677,747x = 903,560.50 × 903,560.50
  4. Step 4: Simplify right side
    677,747x = 816,421,577,160.25
  5. Step 5: Solve for x
    x = 816,421,577,160.25/677,747
  6. Step 6: Final answer
    x = 1,204,611.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.