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Finding the Third Proportional to 383,544 and 575,028

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Solution

The third proportional to 383,544 and 575,028 is: 862,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,544 : 575,028 = 575,028 : x
  2. Step 2: Convert to fraction form
    383,544/575,028 = 575,028/x
  3. Step 3: Cross multiply
    383,544x = 575,028 × 575,028
  4. Step 4: Simplify right side
    383,544x = 330,657,200,784
  5. Step 5: Solve for x
    x = 330,657,200,784/383,544
  6. Step 6: Final answer
    x = 862,110.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.