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Finding the Third Proportional to 319,334 and 532,201

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Solution

The third proportional to 319,334 and 532,201 is: 886,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,334 : 532,201 = 532,201 : x
  2. Step 2: Convert to fraction form
    319,334/532,201 = 532,201/x
  3. Step 3: Cross multiply
    319,334x = 532,201 × 532,201
  4. Step 4: Simplify right side
    319,334x = 283,237,904,401
  5. Step 5: Solve for x
    x = 283,237,904,401/319,334
  6. Step 6: Final answer
    x = 886,964.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.