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Finding the Third Proportional to 383,573 and 601,711

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Solution

The third proportional to 383,573 and 601,711 is: 943,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,573 : 601,711 = 601,711 : x
  2. Step 2: Convert to fraction form
    383,573/601,711 = 601,711/x
  3. Step 3: Cross multiply
    383,573x = 601,711 × 601,711
  4. Step 4: Simplify right side
    383,573x = 362,056,127,521
  5. Step 5: Solve for x
    x = 362,056,127,521/383,573
  6. Step 6: Final answer
    x = 943,904.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.