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Finding the Third Proportional to 369,956 and 553,917

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Solution

The third proportional to 369,956 and 553,917 is: 829,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,956 : 553,917 = 553,917 : x
  2. Step 2: Convert to fraction form
    369,956/553,917 = 553,917/x
  3. Step 3: Cross multiply
    369,956x = 553,917 × 553,917
  4. Step 4: Simplify right side
    369,956x = 306,824,042,889
  5. Step 5: Solve for x
    x = 306,824,042,889/369,956
  6. Step 6: Final answer
    x = 829,352.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.