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Finding the Third Proportional to 412,825.50 and 581,356.13

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Solution

The third proportional to 412,825.50 and 581,356.13 is: 818,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,825.50 : 581,356.13 = 581,356.13 : x
  2. Step 2: Convert to fraction form
    412,825.50/581,356.13 = 581,356.13/x
  3. Step 3: Cross multiply
    412,825.50x = 581,356.13 × 581,356.13
  4. Step 4: Simplify right side
    412,825.50x = 337,974,944,075.02
  5. Step 5: Solve for x
    x = 337,974,944,075.02/412,825.50
  6. Step 6: Final answer
    x = 818,687.18

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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.