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Finding the Third Proportional to 340,281 and 522,318

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Solution

The third proportional to 340,281 and 522,318 is: 801,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,281 : 522,318 = 522,318 : x
  2. Step 2: Convert to fraction form
    340,281/522,318 = 522,318/x
  3. Step 3: Cross multiply
    340,281x = 522,318 × 522,318
  4. Step 4: Simplify right side
    340,281x = 272,816,093,124
  5. Step 5: Solve for x
    x = 272,816,093,124/340,281
  6. Step 6: Final answer
    x = 801,737.66

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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.