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Finding the Third Proportional to 383,484 and 601,605

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Solution

The third proportional to 383,484 and 601,605 is: 943,790.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,484 : 601,605 = 601,605 : x
  2. Step 2: Convert to fraction form
    383,484/601,605 = 601,605/x
  3. Step 3: Cross multiply
    383,484x = 601,605 × 601,605
  4. Step 4: Simplify right side
    383,484x = 361,928,576,025
  5. Step 5: Solve for x
    x = 361,928,576,025/383,484
  6. Step 6: Final answer
    x = 943,790.55

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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.