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Finding the Third Proportional to 617,322.50 and 927,627

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Solution

The third proportional to 617,322.50 and 927,627 is: 1,393,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,322.50 : 927,627 = 927,627 : x
  2. Step 2: Convert to fraction form
    617,322.50/927,627 = 927,627/x
  3. Step 3: Cross multiply
    617,322.50x = 927,627 × 927,627
  4. Step 4: Simplify right side
    617,322.50x = 860,491,851,129
  5. Step 5: Solve for x
    x = 860,491,851,129/617,322.50
  6. Step 6: Final answer
    x = 1,393,909.75

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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.