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Finding the Third Proportional to 401,041.13 and 871,246.13

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Solution

The third proportional to 401,041.13 and 871,246.13 is: 1,892,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,041.13 : 871,246.13 = 871,246.13 : x
  2. Step 2: Convert to fraction form
    401,041.13/871,246.13 = 871,246.13/x
  3. Step 3: Cross multiply
    401,041.13x = 871,246.13 × 871,246.13
  4. Step 4: Simplify right side
    401,041.13x = 759,069,810,327.52
  5. Step 5: Solve for x
    x = 759,069,810,327.52/401,041.13
  6. Step 6: Final answer
    x = 1,892,748.06

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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.