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Finding the Third Proportional to 191,071 and 416,476

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Solution

The third proportional to 191,071 and 416,476 is: 907,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,071 : 416,476 = 416,476 : x
  2. Step 2: Convert to fraction form
    191,071/416,476 = 416,476/x
  3. Step 3: Cross multiply
    191,071x = 416,476 × 416,476
  4. Step 4: Simplify right side
    191,071x = 173,452,258,576
  5. Step 5: Solve for x
    x = 173,452,258,576/191,071
  6. Step 6: Final answer
    x = 907,789.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.