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Finding the Third Proportional to 286,769 and 401,088

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Solution

The third proportional to 286,769 and 401,088 is: 560,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,769 : 401,088 = 401,088 : x
  2. Step 2: Convert to fraction form
    286,769/401,088 = 401,088/x
  3. Step 3: Cross multiply
    286,769x = 401,088 × 401,088
  4. Step 4: Simplify right side
    286,769x = 160,871,583,744
  5. Step 5: Solve for x
    x = 160,871,583,744/286,769
  6. Step 6: Final answer
    x = 560,979.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.