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Finding the Third Proportional to 283,784 and 424,894

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Solution

The third proportional to 283,784 and 424,894 is: 636,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,784 : 424,894 = 424,894 : x
  2. Step 2: Convert to fraction form
    283,784/424,894 = 424,894/x
  3. Step 3: Cross multiply
    283,784x = 424,894 × 424,894
  4. Step 4: Simplify right side
    283,784x = 180,534,911,236
  5. Step 5: Solve for x
    x = 180,534,911,236/283,784
  6. Step 6: Final answer
    x = 636,170.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.