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Finding the Third Proportional to 593,682 and 890,523

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Solution

The third proportional to 593,682 and 890,523 is: 1,335,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,682 : 890,523 = 890,523 : x
  2. Step 2: Convert to fraction form
    593,682/890,523 = 890,523/x
  3. Step 3: Cross multiply
    593,682x = 890,523 × 890,523
  4. Step 4: Simplify right side
    593,682x = 793,031,213,529
  5. Step 5: Solve for x
    x = 793,031,213,529/593,682
  6. Step 6: Final answer
    x = 1,335,784.50

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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.