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Finding the Third Proportional to 248,784 and 536,864

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Solution

The third proportional to 248,784 and 536,864 is: 1,158,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,784 : 536,864 = 536,864 : x
  2. Step 2: Convert to fraction form
    248,784/536,864 = 536,864/x
  3. Step 3: Cross multiply
    248,784x = 536,864 × 536,864
  4. Step 4: Simplify right side
    248,784x = 288,222,954,496
  5. Step 5: Solve for x
    x = 288,222,954,496/248,784
  6. Step 6: Final answer
    x = 1,158,526.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.