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Finding the Third Proportional to 401,133 and 880,985

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Solution

The third proportional to 401,133 and 880,985 is: 1,934,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,133 : 880,985 = 880,985 : x
  2. Step 2: Convert to fraction form
    401,133/880,985 = 880,985/x
  3. Step 3: Cross multiply
    401,133x = 880,985 × 880,985
  4. Step 4: Simplify right side
    401,133x = 776,134,570,225
  5. Step 5: Solve for x
    x = 776,134,570,225/401,133
  6. Step 6: Final answer
    x = 1,934,855.95

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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.