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Finding the Third Proportional to 369,994.50 and 553,503

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Solution

The third proportional to 369,994.50 and 553,503 is: 828,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,994.50 : 553,503 = 553,503 : x
  2. Step 2: Convert to fraction form
    369,994.50/553,503 = 553,503/x
  3. Step 3: Cross multiply
    369,994.50x = 553,503 × 553,503
  4. Step 4: Simplify right side
    369,994.50x = 306,365,571,009
  5. Step 5: Solve for x
    x = 306,365,571,009/369,994.50
  6. Step 6: Final answer
    x = 828,027.37

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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.