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Finding the Third Proportional to 323,926 and 756,732

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Solution

The third proportional to 323,926 and 756,732 is: 1,767,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,926 : 756,732 = 756,732 : x
  2. Step 2: Convert to fraction form
    323,926/756,732 = 756,732/x
  3. Step 3: Cross multiply
    323,926x = 756,732 × 756,732
  4. Step 4: Simplify right side
    323,926x = 572,643,319,824
  5. Step 5: Solve for x
    x = 572,643,319,824/323,926
  6. Step 6: Final answer
    x = 1,767,821.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.