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Finding the Third Proportional to 597,080 and 895,251

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Solution

The third proportional to 597,080 and 895,251 is: 1,342,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,080 : 895,251 = 895,251 : x
  2. Step 2: Convert to fraction form
    597,080/895,251 = 895,251/x
  3. Step 3: Cross multiply
    597,080x = 895,251 × 895,251
  4. Step 4: Simplify right side
    597,080x = 801,474,353,001
  5. Step 5: Solve for x
    x = 801,474,353,001/597,080
  6. Step 6: Final answer
    x = 1,342,323.23

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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.