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Finding the Third Proportional to 401,368 and 871,832

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Solution

The third proportional to 401,368 and 871,832 is: 1,893,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,368 : 871,832 = 871,832 : x
  2. Step 2: Convert to fraction form
    401,368/871,832 = 871,832/x
  3. Step 3: Cross multiply
    401,368x = 871,832 × 871,832
  4. Step 4: Simplify right side
    401,368x = 760,091,036,224
  5. Step 5: Solve for x
    x = 760,091,036,224/401,368
  6. Step 6: Final answer
    x = 1,893,750.96

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Why These Related Problems?

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