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Finding the Third Proportional to 369,314 and 789,820

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Solution

The third proportional to 369,314 and 789,820 is: 1,689,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,314 : 789,820 = 789,820 : x
  2. Step 2: Convert to fraction form
    369,314/789,820 = 789,820/x
  3. Step 3: Cross multiply
    369,314x = 789,820 × 789,820
  4. Step 4: Simplify right side
    369,314x = 623,815,632,400
  5. Step 5: Solve for x
    x = 623,815,632,400/369,314
  6. Step 6: Final answer
    x = 1,689,119.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.