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Finding the Third Proportional to 412,852.13 and 581,391

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Solution

The third proportional to 412,852.13 and 581,391 is: 818,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,852.13 : 581,391 = 581,391 : x
  2. Step 2: Convert to fraction form
    412,852.13/581,391 = 581,391/x
  3. Step 3: Cross multiply
    412,852.13x = 581,391 × 581,391
  4. Step 4: Simplify right side
    412,852.13x = 338,015,494,881
  5. Step 5: Solve for x
    x = 338,015,494,881/412,852.13
  6. Step 6: Final answer
    x = 818,732.60

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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.