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Finding the Third Proportional to 597,084 and 895,257

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Solution

The third proportional to 597,084 and 895,257 is: 1,342,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,084 : 895,257 = 895,257 : x
  2. Step 2: Convert to fraction form
    597,084/895,257 = 895,257/x
  3. Step 3: Cross multiply
    597,084x = 895,257 × 895,257
  4. Step 4: Simplify right side
    597,084x = 801,485,096,049
  5. Step 5: Solve for x
    x = 801,485,096,049/597,084
  6. Step 6: Final answer
    x = 1,342,332.23

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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.