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Finding the Third Proportional to 595,494 and 893,349

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Solution

The third proportional to 595,494 and 893,349 is: 1,340,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,494 : 893,349 = 893,349 : x
  2. Step 2: Convert to fraction form
    595,494/893,349 = 893,349/x
  3. Step 3: Cross multiply
    595,494x = 893,349 × 893,349
  4. Step 4: Simplify right side
    595,494x = 798,072,435,801
  5. Step 5: Solve for x
    x = 798,072,435,801/595,494
  6. Step 6: Final answer
    x = 1,340,185.52

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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.