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Finding the Third Proportional to 264,336 and 396,585

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Solution

The third proportional to 264,336 and 396,585 is: 594,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,336 : 396,585 = 396,585 : x
  2. Step 2: Convert to fraction form
    264,336/396,585 = 396,585/x
  3. Step 3: Cross multiply
    264,336x = 396,585 × 396,585
  4. Step 4: Simplify right side
    264,336x = 157,279,662,225
  5. Step 5: Solve for x
    x = 157,279,662,225/264,336
  6. Step 6: Final answer
    x = 594,999.02

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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.