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Finding the Third Proportional to 280,884 and 593,304

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Solution

The third proportional to 280,884 and 593,304 is: 1,253,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,884 : 593,304 = 593,304 : x
  2. Step 2: Convert to fraction form
    280,884/593,304 = 593,304/x
  3. Step 3: Cross multiply
    280,884x = 593,304 × 593,304
  4. Step 4: Simplify right side
    280,884x = 352,009,636,416
  5. Step 5: Solve for x
    x = 352,009,636,416/280,884
  6. Step 6: Final answer
    x = 1,253,220.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.