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Finding the Third Proportional to 417,751 and 609,022

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Solution

The third proportional to 417,751 and 609,022 is: 887,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,751 : 609,022 = 609,022 : x
  2. Step 2: Convert to fraction form
    417,751/609,022 = 609,022/x
  3. Step 3: Cross multiply
    417,751x = 609,022 × 609,022
  4. Step 4: Simplify right side
    417,751x = 370,907,796,484
  5. Step 5: Solve for x
    x = 370,907,796,484/417,751
  6. Step 6: Final answer
    x = 887,868.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.