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Finding the Third Proportional to 554,558 and 828,141

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Solution

The third proportional to 554,558 and 828,141 is: 1,236,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,558 : 828,141 = 828,141 : x
  2. Step 2: Convert to fraction form
    554,558/828,141 = 828,141/x
  3. Step 3: Cross multiply
    554,558x = 828,141 × 828,141
  4. Step 4: Simplify right side
    554,558x = 685,817,515,881
  5. Step 5: Solve for x
    x = 685,817,515,881/554,558
  6. Step 6: Final answer
    x = 1,236,692.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.