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Finding the Third Proportional to 436,252.50 and 922,806

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Solution

The third proportional to 436,252.50 and 922,806 is: 1,952,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,252.50 : 922,806 = 922,806 : x
  2. Step 2: Convert to fraction form
    436,252.50/922,806 = 922,806/x
  3. Step 3: Cross multiply
    436,252.50x = 922,806 × 922,806
  4. Step 4: Simplify right side
    436,252.50x = 851,570,913,636
  5. Step 5: Solve for x
    x = 851,570,913,636/436,252.50
  6. Step 6: Final answer
    x = 1,952,013.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.