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Finding the Third Proportional to 412,808 and 581,324.25

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Solution

The third proportional to 412,808 and 581,324.25 is: 818,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,808 : 581,324.25 = 581,324.25 : x
  2. Step 2: Convert to fraction form
    412,808/581,324.25 = 581,324.25/x
  3. Step 3: Cross multiply
    412,808x = 581,324.25 × 581,324.25
  4. Step 4: Simplify right side
    412,808x = 337,937,883,638.06
  5. Step 5: Solve for x
    x = 337,937,883,638.06/412,808
  6. Step 6: Final answer
    x = 818,632.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.