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Finding the Third Proportional to 429,254 and 932,379

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Solution

The third proportional to 429,254 and 932,379 is: 2,025,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,254 : 932,379 = 932,379 : x
  2. Step 2: Convert to fraction form
    429,254/932,379 = 932,379/x
  3. Step 3: Cross multiply
    429,254x = 932,379 × 932,379
  4. Step 4: Simplify right side
    429,254x = 869,330,599,641
  5. Step 5: Solve for x
    x = 869,330,599,641/429,254
  6. Step 6: Final answer
    x = 2,025,212.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.