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Finding the Third Proportional to 429,420.25 and 932,834

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Solution

The third proportional to 429,420.25 and 932,834 is: 2,026,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,420.25 : 932,834 = 932,834 : x
  2. Step 2: Convert to fraction form
    429,420.25/932,834 = 932,834/x
  3. Step 3: Cross multiply
    429,420.25x = 932,834 × 932,834
  4. Step 4: Simplify right side
    429,420.25x = 870,179,271,556
  5. Step 5: Solve for x
    x = 870,179,271,556/429,420.25
  6. Step 6: Final answer
    x = 2,026,404.84

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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.