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Finding the Third Proportional to 677,698 and 903,475

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Solution

The third proportional to 677,698 and 903,475 is: 1,204,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,698 : 903,475 = 903,475 : x
  2. Step 2: Convert to fraction form
    677,698/903,475 = 903,475/x
  3. Step 3: Cross multiply
    677,698x = 903,475 × 903,475
  4. Step 4: Simplify right side
    677,698x = 816,267,075,625
  5. Step 5: Solve for x
    x = 816,267,075,625/677,698
  6. Step 6: Final answer
    x = 1,204,470.24

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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.