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Finding the Third Proportional to 319,314 and 532,168

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Solution

The third proportional to 319,314 and 532,168 is: 886,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,314 : 532,168 = 532,168 : x
  2. Step 2: Convert to fraction form
    319,314/532,168 = 532,168/x
  3. Step 3: Cross multiply
    319,314x = 532,168 × 532,168
  4. Step 4: Simplify right side
    319,314x = 283,202,780,224
  5. Step 5: Solve for x
    x = 283,202,780,224/319,314
  6. Step 6: Final answer
    x = 886,910.00

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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.