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Finding the Third Proportional to 407,282 and 894,692

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Solution

The third proportional to 407,282 and 894,692 is: 1,965,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,282 : 894,692 = 894,692 : x
  2. Step 2: Convert to fraction form
    407,282/894,692 = 894,692/x
  3. Step 3: Cross multiply
    407,282x = 894,692 × 894,692
  4. Step 4: Simplify right side
    407,282x = 800,473,774,864
  5. Step 5: Solve for x
    x = 800,473,774,864/407,282
  6. Step 6: Final answer
    x = 1,965,404.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.