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Finding the Third Proportional to 478,406 and 650,001

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Solution

The third proportional to 478,406 and 650,001 is: 883,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,406 : 650,001 = 650,001 : x
  2. Step 2: Convert to fraction form
    478,406/650,001 = 650,001/x
  3. Step 3: Cross multiply
    478,406x = 650,001 × 650,001
  4. Step 4: Simplify right side
    478,406x = 422,501,300,001
  5. Step 5: Solve for x
    x = 422,501,300,001/478,406
  6. Step 6: Final answer
    x = 883,143.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.