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Finding the Third Proportional to 422,334 and 654,495

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Solution

The third proportional to 422,334 and 654,495 is: 1,014,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,334 : 654,495 = 654,495 : x
  2. Step 2: Convert to fraction form
    422,334/654,495 = 654,495/x
  3. Step 3: Cross multiply
    422,334x = 654,495 × 654,495
  4. Step 4: Simplify right side
    422,334x = 428,363,705,025
  5. Step 5: Solve for x
    x = 428,363,705,025/422,334
  6. Step 6: Final answer
    x = 1,014,277.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.