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Finding the Third Proportional to 288,784 and 444,448

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Solution

The third proportional to 288,784 and 444,448 is: 684,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,784 : 444,448 = 444,448 : x
  2. Step 2: Convert to fraction form
    288,784/444,448 = 444,448/x
  3. Step 3: Cross multiply
    288,784x = 444,448 × 444,448
  4. Step 4: Simplify right side
    288,784x = 197,534,024,704
  5. Step 5: Solve for x
    x = 197,534,024,704/288,784
  6. Step 6: Final answer
    x = 684,019.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.