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Finding the Third Proportional to 319,269 and 681,913.13

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Solution

The third proportional to 319,269 and 681,913.13 is: 1,456,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,269 : 681,913.13 = 681,913.13 : x
  2. Step 2: Convert to fraction form
    319,269/681,913.13 = 681,913.13/x
  3. Step 3: Cross multiply
    319,269x = 681,913.13 × 681,913.13
  4. Step 4: Simplify right side
    319,269x = 465,005,510,047.27
  5. Step 5: Solve for x
    x = 465,005,510,047.27/319,269
  6. Step 6: Final answer
    x = 1,456,469.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.