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Finding the Third Proportional to 429,409.50 and 932,811

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Solution

The third proportional to 429,409.50 and 932,811 is: 2,026,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,409.50 : 932,811 = 932,811 : x
  2. Step 2: Convert to fraction form
    429,409.50/932,811 = 932,811/x
  3. Step 3: Cross multiply
    429,409.50x = 932,811 × 932,811
  4. Step 4: Simplify right side
    429,409.50x = 870,136,361,721
  5. Step 5: Solve for x
    x = 870,136,361,721/429,409.50
  6. Step 6: Final answer
    x = 2,026,355.64

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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.