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Finding the Third Proportional to 248,864 and 528,448

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Solution

The third proportional to 248,864 and 528,448 is: 1,122,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,864 : 528,448 = 528,448 : x
  2. Step 2: Convert to fraction form
    248,864/528,448 = 528,448/x
  3. Step 3: Cross multiply
    248,864x = 528,448 × 528,448
  4. Step 4: Simplify right side
    248,864x = 279,257,288,704
  5. Step 5: Solve for x
    x = 279,257,288,704/248,864
  6. Step 6: Final answer
    x = 1,122,128.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.