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Finding the Third Proportional to 545,969 and 834,258

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Solution

The third proportional to 545,969 and 834,258 is: 1,274,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,969 : 834,258 = 834,258 : x
  2. Step 2: Convert to fraction form
    545,969/834,258 = 834,258/x
  3. Step 3: Cross multiply
    545,969x = 834,258 × 834,258
  4. Step 4: Simplify right side
    545,969x = 695,986,410,564
  5. Step 5: Solve for x
    x = 695,986,410,564/545,969
  6. Step 6: Final answer
    x = 1,274,772.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.