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Finding the Third Proportional to 597,936 and 895,254

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Solution

The third proportional to 597,936 and 895,254 is: 1,340,410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,936 : 895,254 = 895,254 : x
  2. Step 2: Convert to fraction form
    597,936/895,254 = 895,254/x
  3. Step 3: Cross multiply
    597,936x = 895,254 × 895,254
  4. Step 4: Simplify right side
    597,936x = 801,479,724,516
  5. Step 5: Solve for x
    x = 801,479,724,516/597,936
  6. Step 6: Final answer
    x = 1,340,410.55

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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.