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Finding the Third Proportional to 383,645 and 601,852

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Solution

The third proportional to 383,645 and 601,852 is: 944,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,645 : 601,852 = 601,852 : x
  2. Step 2: Convert to fraction form
    383,645/601,852 = 601,852/x
  3. Step 3: Cross multiply
    383,645x = 601,852 × 601,852
  4. Step 4: Simplify right side
    383,645x = 362,225,829,904
  5. Step 5: Solve for x
    x = 362,225,829,904/383,645
  6. Step 6: Final answer
    x = 944,169.30

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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.