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Finding the Third Proportional to 538,794 and 828,412.50

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Solution

The third proportional to 538,794 and 828,412.50 is: 1,273,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,794 : 828,412.50 = 828,412.50 : x
  2. Step 2: Convert to fraction form
    538,794/828,412.50 = 828,412.50/x
  3. Step 3: Cross multiply
    538,794x = 828,412.50 × 828,412.50
  4. Step 4: Simplify right side
    538,794x = 686,267,270,156.25
  5. Step 5: Solve for x
    x = 686,267,270,156.25/538,794
  6. Step 6: Final answer
    x = 1,273,709.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.