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Finding the Third Proportional to 374,543 and 825,433

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Solution

The third proportional to 374,543 and 825,433 is: 1,819,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,543 : 825,433 = 825,433 : x
  2. Step 2: Convert to fraction form
    374,543/825,433 = 825,433/x
  3. Step 3: Cross multiply
    374,543x = 825,433 × 825,433
  4. Step 4: Simplify right side
    374,543x = 681,339,637,489
  5. Step 5: Solve for x
    x = 681,339,637,489/374,543
  6. Step 6: Final answer
    x = 1,819,122.60

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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.