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Finding the Third Proportional to 401,132 and 880,984

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Solution

The third proportional to 401,132 and 880,984 is: 1,934,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,132 : 880,984 = 880,984 : x
  2. Step 2: Convert to fraction form
    401,132/880,984 = 880,984/x
  3. Step 3: Cross multiply
    401,132x = 880,984 × 880,984
  4. Step 4: Simplify right side
    401,132x = 776,132,808,256
  5. Step 5: Solve for x
    x = 776,132,808,256/401,132
  6. Step 6: Final answer
    x = 1,934,856.38

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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.