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Finding the Third Proportional to 358,996 and 563,206

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Solution

The third proportional to 358,996 and 563,206 is: 883,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,996 : 563,206 = 563,206 : x
  2. Step 2: Convert to fraction form
    358,996/563,206 = 563,206/x
  3. Step 3: Cross multiply
    358,996x = 563,206 × 563,206
  4. Step 4: Simplify right side
    358,996x = 317,200,998,436
  5. Step 5: Solve for x
    x = 317,200,998,436/358,996
  6. Step 6: Final answer
    x = 883,578.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.