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Finding the Third Proportional to 191,538 and 416,583

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Solution

The third proportional to 191,538 and 416,583 is: 906,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,538 : 416,583 = 416,583 : x
  2. Step 2: Convert to fraction form
    191,538/416,583 = 416,583/x
  3. Step 3: Cross multiply
    191,538x = 416,583 × 416,583
  4. Step 4: Simplify right side
    191,538x = 173,541,395,889
  5. Step 5: Solve for x
    x = 173,541,395,889/191,538
  6. Step 6: Final answer
    x = 906,041.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.