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Finding the Third Proportional to 326,916 and 705,438

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Solution

The third proportional to 326,916 and 705,438 is: 1,522,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,916 : 705,438 = 705,438 : x
  2. Step 2: Convert to fraction form
    326,916/705,438 = 705,438/x
  3. Step 3: Cross multiply
    326,916x = 705,438 × 705,438
  4. Step 4: Simplify right side
    326,916x = 497,642,771,844
  5. Step 5: Solve for x
    x = 497,642,771,844/326,916
  6. Step 6: Final answer
    x = 1,522,234.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.