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Finding the Third Proportional to 331,641 and 779,598

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Solution

The third proportional to 331,641 and 779,598 is: 1,832,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,641 : 779,598 = 779,598 : x
  2. Step 2: Convert to fraction form
    331,641/779,598 = 779,598/x
  3. Step 3: Cross multiply
    331,641x = 779,598 × 779,598
  4. Step 4: Simplify right side
    331,641x = 607,773,041,604
  5. Step 5: Solve for x
    x = 607,773,041,604/331,641
  6. Step 6: Final answer
    x = 1,832,623.35

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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.