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Finding the Third Proportional to 677,696 and 903,472

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Solution

The third proportional to 677,696 and 903,472 is: 1,204,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,696 : 903,472 = 903,472 : x
  2. Step 2: Convert to fraction form
    677,696/903,472 = 903,472/x
  3. Step 3: Cross multiply
    677,696x = 903,472 × 903,472
  4. Step 4: Simplify right side
    677,696x = 816,261,654,784
  5. Step 5: Solve for x
    x = 816,261,654,784/677,696
  6. Step 6: Final answer
    x = 1,204,465.80

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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.