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Finding the Third Proportional to 366,584 and 567,606

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Solution

The third proportional to 366,584 and 567,606 is: 878,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,584 : 567,606 = 567,606 : x
  2. Step 2: Convert to fraction form
    366,584/567,606 = 567,606/x
  3. Step 3: Cross multiply
    366,584x = 567,606 × 567,606
  4. Step 4: Simplify right side
    366,584x = 322,176,571,236
  5. Step 5: Solve for x
    x = 322,176,571,236/366,584
  6. Step 6: Final answer
    x = 878,861.52

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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.