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Finding the Third Proportional to 242,704.69 and 528,020.44

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Solution

The third proportional to 242,704.69 and 528,020.44 is: 1,148,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,704.69 : 528,020.44 = 528,020.44 : x
  2. Step 2: Convert to fraction form
    242,704.69/528,020.44 = 528,020.44/x
  3. Step 3: Cross multiply
    242,704.69x = 528,020.44 × 528,020.44
  4. Step 4: Simplify right side
    242,704.69x = 278,805,582,417.69
  5. Step 5: Solve for x
    x = 278,805,582,417.69/242,704.69
  6. Step 6: Final answer
    x = 1,148,744.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.