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Finding the Third Proportional to 611,208 and 934,380

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Solution

The third proportional to 611,208 and 934,380 is: 1,428,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,208 : 934,380 = 934,380 : x
  2. Step 2: Convert to fraction form
    611,208/934,380 = 934,380/x
  3. Step 3: Cross multiply
    611,208x = 934,380 × 934,380
  4. Step 4: Simplify right side
    611,208x = 873,065,984,400
  5. Step 5: Solve for x
    x = 873,065,984,400/611,208
  6. Step 6: Final answer
    x = 1,428,426.96

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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.