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Finding the Third Proportional to 383,548.50 and 575,322

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Solution

The third proportional to 383,548.50 and 575,322 is: 862,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,548.50 : 575,322 = 575,322 : x
  2. Step 2: Convert to fraction form
    383,548.50/575,322 = 575,322/x
  3. Step 3: Cross multiply
    383,548.50x = 575,322 × 575,322
  4. Step 4: Simplify right side
    383,548.50x = 330,995,403,684
  5. Step 5: Solve for x
    x = 330,995,403,684/383,548.50
  6. Step 6: Final answer
    x = 862,981.88

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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.