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Finding the Third Proportional to 422,952 and 617,549

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Solution

The third proportional to 422,952 and 617,549 is: 901,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,952 : 617,549 = 617,549 : x
  2. Step 2: Convert to fraction form
    422,952/617,549 = 617,549/x
  3. Step 3: Cross multiply
    422,952x = 617,549 × 617,549
  4. Step 4: Simplify right side
    422,952x = 381,366,767,401
  5. Step 5: Solve for x
    x = 381,366,767,401/422,952
  6. Step 6: Final answer
    x = 901,678.60

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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.