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Finding the Third Proportional to 264,905 and 396,316

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Solution

The third proportional to 264,905 and 396,316 is: 592,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,905 : 396,316 = 396,316 : x
  2. Step 2: Convert to fraction form
    264,905/396,316 = 396,316/x
  3. Step 3: Cross multiply
    264,905x = 396,316 × 396,316
  4. Step 4: Simplify right side
    264,905x = 157,066,371,856
  5. Step 5: Solve for x
    x = 157,066,371,856/264,905
  6. Step 6: Final answer
    x = 592,915.84

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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.