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Finding the Third Proportional to 516,100.50 and 713,157

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Solution

The third proportional to 516,100.50 and 713,157 is: 985,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,100.50 : 713,157 = 713,157 : x
  2. Step 2: Convert to fraction form
    516,100.50/713,157 = 713,157/x
  3. Step 3: Cross multiply
    516,100.50x = 713,157 × 713,157
  4. Step 4: Simplify right side
    516,100.50x = 508,592,906,649
  5. Step 5: Solve for x
    x = 508,592,906,649/516,100.50
  6. Step 6: Final answer
    x = 985,453.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.