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Finding the Third Proportional to 331,666 and 779,594

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Solution

The third proportional to 331,666 and 779,594 is: 1,832,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,666 : 779,594 = 779,594 : x
  2. Step 2: Convert to fraction form
    331,666/779,594 = 779,594/x
  3. Step 3: Cross multiply
    331,666x = 779,594 × 779,594
  4. Step 4: Simplify right side
    331,666x = 607,766,804,836
  5. Step 5: Solve for x
    x = 607,766,804,836/331,666
  6. Step 6: Final answer
    x = 1,832,466.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.