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Finding the Third Proportional to 429,381 and 973,350

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Solution

The third proportional to 429,381 and 973,350 is: 2,206,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,381 : 973,350 = 973,350 : x
  2. Step 2: Convert to fraction form
    429,381/973,350 = 973,350/x
  3. Step 3: Cross multiply
    429,381x = 973,350 × 973,350
  4. Step 4: Simplify right side
    429,381x = 947,410,222,500
  5. Step 5: Solve for x
    x = 947,410,222,500/429,381
  6. Step 6: Final answer
    x = 2,206,455.86

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.