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Finding the Third Proportional to 655,177 and 1,017,758

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Solution

The third proportional to 655,177 and 1,017,758 is: 1,580,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,177 : 1,017,758 = 1,017,758 : x
  2. Step 2: Convert to fraction form
    655,177/1,017,758 = 1,017,758/x
  3. Step 3: Cross multiply
    655,177x = 1,017,758 × 1,017,758
  4. Step 4: Simplify right side
    655,177x = 1,035,831,346,564
  5. Step 5: Solve for x
    x = 1,035,831,346,564/655,177
  6. Step 6: Final answer
    x = 1,580,994.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.