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Finding the Third Proportional to 528,192 and 790,254

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Solution

The third proportional to 528,192 and 790,254 is: 1,182,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,192 : 790,254 = 790,254 : x
  2. Step 2: Convert to fraction form
    528,192/790,254 = 790,254/x
  3. Step 3: Cross multiply
    528,192x = 790,254 × 790,254
  4. Step 4: Simplify right side
    528,192x = 624,501,384,516
  5. Step 5: Solve for x
    x = 624,501,384,516/528,192
  6. Step 6: Final answer
    x = 1,182,337.83

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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.