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Finding the Third Proportional to 398,908.50 and 864,276

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Solution

The third proportional to 398,908.50 and 864,276 is: 1,872,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,908.50 : 864,276 = 864,276 : x
  2. Step 2: Convert to fraction form
    398,908.50/864,276 = 864,276/x
  3. Step 3: Cross multiply
    398,908.50x = 864,276 × 864,276
  4. Step 4: Simplify right side
    398,908.50x = 746,973,004,176
  5. Step 5: Solve for x
    x = 746,973,004,176/398,908.50
  6. Step 6: Final answer
    x = 1,872,542.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.