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Finding the Third Proportional to 320,017.50 and 687,479.06

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Solution

The third proportional to 320,017.50 and 687,479.06 is: 1,476,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,017.50 : 687,479.06 = 687,479.06 : x
  2. Step 2: Convert to fraction form
    320,017.50/687,479.06 = 687,479.06/x
  3. Step 3: Cross multiply
    320,017.50x = 687,479.06 × 687,479.06
  4. Step 4: Simplify right side
    320,017.50x = 472,627,461,375.88
  5. Step 5: Solve for x
    x = 472,627,461,375.88/320,017.50
  6. Step 6: Final answer
    x = 1,476,880.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.