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Finding the Third Proportional to 217,766 and 512,354

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Solution

The third proportional to 217,766 and 512,354 is: 1,205,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,766 : 512,354 = 512,354 : x
  2. Step 2: Convert to fraction form
    217,766/512,354 = 512,354/x
  3. Step 3: Cross multiply
    217,766x = 512,354 × 512,354
  4. Step 4: Simplify right side
    217,766x = 262,506,621,316
  5. Step 5: Solve for x
    x = 262,506,621,316/217,766
  6. Step 6: Final answer
    x = 1,205,452.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.