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Finding the Third Proportional to 528,816 and 794,395

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Solution

The third proportional to 528,816 and 794,395 is: 1,193,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,816 : 794,395 = 794,395 : x
  2. Step 2: Convert to fraction form
    528,816/794,395 = 794,395/x
  3. Step 3: Cross multiply
    528,816x = 794,395 × 794,395
  4. Step 4: Simplify right side
    528,816x = 631,063,416,025
  5. Step 5: Solve for x
    x = 631,063,416,025/528,816
  6. Step 6: Final answer
    x = 1,193,351.59

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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.