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Finding the Third Proportional to 543,958 and 898,962

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Solution

The third proportional to 543,958 and 898,962 is: 1,485,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,958 : 898,962 = 898,962 : x
  2. Step 2: Convert to fraction form
    543,958/898,962 = 898,962/x
  3. Step 3: Cross multiply
    543,958x = 898,962 × 898,962
  4. Step 4: Simplify right side
    543,958x = 808,132,677,444
  5. Step 5: Solve for x
    x = 808,132,677,444/543,958
  6. Step 6: Final answer
    x = 1,485,652.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.