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Finding the Third Proportional to 466,998 and 712,161

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Solution

The third proportional to 466,998 and 712,161 is: 1,086,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,998 : 712,161 = 712,161 : x
  2. Step 2: Convert to fraction form
    466,998/712,161 = 712,161/x
  3. Step 3: Cross multiply
    466,998x = 712,161 × 712,161
  4. Step 4: Simplify right side
    466,998x = 507,173,289,921
  5. Step 5: Solve for x
    x = 507,173,289,921/466,998
  6. Step 6: Final answer
    x = 1,086,028.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.