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Finding the Third Proportional to 321,936 and 707,616

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Solution

The third proportional to 321,936 and 707,616 is: 1,555,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,936 : 707,616 = 707,616 : x
  2. Step 2: Convert to fraction form
    321,936/707,616 = 707,616/x
  3. Step 3: Cross multiply
    321,936x = 707,616 × 707,616
  4. Step 4: Simplify right side
    321,936x = 500,720,403,456
  5. Step 5: Solve for x
    x = 500,720,403,456/321,936
  6. Step 6: Final answer
    x = 1,555,341.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.