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Finding the Third Proportional to 588,469 and 909,318

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Solution

The third proportional to 588,469 and 909,318 is: 1,405,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,469 : 909,318 = 909,318 : x
  2. Step 2: Convert to fraction form
    588,469/909,318 = 909,318/x
  3. Step 3: Cross multiply
    588,469x = 909,318 × 909,318
  4. Step 4: Simplify right side
    588,469x = 826,859,225,124
  5. Step 5: Solve for x
    x = 826,859,225,124/588,469
  6. Step 6: Final answer
    x = 1,405,102.44

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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.