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Finding the Third Proportional to 528,384.75 and 1,177,788.75

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Solution

The third proportional to 528,384.75 and 1,177,788.75 is: 2,625,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,384.75 : 1,177,788.75 = 1,177,788.75 : x
  2. Step 2: Convert to fraction form
    528,384.75/1,177,788.75 = 1,177,788.75/x
  3. Step 3: Cross multiply
    528,384.75x = 1,177,788.75 × 1,177,788.75
  4. Step 4: Simplify right side
    528,384.75x = 1,387,186,339,626.56
  5. Step 5: Solve for x
    x = 1,387,186,339,626.56/528,384.75
  6. Step 6: Final answer
    x = 2,625,333.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.