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Finding the Third Proportional to 358,243 and 522,598

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Solution

The third proportional to 358,243 and 522,598 is: 762,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,243 : 522,598 = 522,598 : x
  2. Step 2: Convert to fraction form
    358,243/522,598 = 522,598/x
  3. Step 3: Cross multiply
    358,243x = 522,598 × 522,598
  4. Step 4: Simplify right side
    358,243x = 273,108,669,604
  5. Step 5: Solve for x
    x = 273,108,669,604/358,243
  6. Step 6: Final answer
    x = 762,355.91

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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.