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Finding the Third Proportional to 597,072 and 895,239

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Solution

The third proportional to 597,072 and 895,239 is: 1,342,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,072 : 895,239 = 895,239 : x
  2. Step 2: Convert to fraction form
    597,072/895,239 = 895,239/x
  3. Step 3: Cross multiply
    597,072x = 895,239 × 895,239
  4. Step 4: Simplify right side
    597,072x = 801,452,867,121
  5. Step 5: Solve for x
    x = 801,452,867,121/597,072
  6. Step 6: Final answer
    x = 1,342,305.23

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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.