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Finding the Third Proportional to 493,726.50 and 661,857

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Solution

The third proportional to 493,726.50 and 661,857 is: 887,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,726.50 : 661,857 = 661,857 : x
  2. Step 2: Convert to fraction form
    493,726.50/661,857 = 661,857/x
  3. Step 3: Cross multiply
    493,726.50x = 661,857 × 661,857
  4. Step 4: Simplify right side
    493,726.50x = 438,054,688,449
  5. Step 5: Solve for x
    x = 438,054,688,449/493,726.50
  6. Step 6: Final answer
    x = 887,241.60

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.