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Finding the Third Proportional to 653,040 and 957,204

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Solution

The third proportional to 653,040 and 957,204 is: 1,403,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,040 : 957,204 = 957,204 : x
  2. Step 2: Convert to fraction form
    653,040/957,204 = 957,204/x
  3. Step 3: Cross multiply
    653,040x = 957,204 × 957,204
  4. Step 4: Simplify right side
    653,040x = 916,239,497,616
  5. Step 5: Solve for x
    x = 916,239,497,616/653,040
  6. Step 6: Final answer
    x = 1,403,037.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.