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Finding the Third Proportional to 264,338 and 396,587

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Solution

The third proportional to 264,338 and 396,587 is: 595,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,338 : 396,587 = 396,587 : x
  2. Step 2: Convert to fraction form
    264,338/396,587 = 396,587/x
  3. Step 3: Cross multiply
    264,338x = 396,587 × 396,587
  4. Step 4: Simplify right side
    264,338x = 157,281,248,569
  5. Step 5: Solve for x
    x = 157,281,248,569/264,338
  6. Step 6: Final answer
    x = 595,000.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.