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Finding the Third Proportional to 293,197.50 and 457,321.50

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Solution

The third proportional to 293,197.50 and 457,321.50 is: 713,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,197.50 : 457,321.50 = 457,321.50 : x
  2. Step 2: Convert to fraction form
    293,197.50/457,321.50 = 457,321.50/x
  3. Step 3: Cross multiply
    293,197.50x = 457,321.50 × 457,321.50
  4. Step 4: Simplify right side
    293,197.50x = 209,142,954,362.25
  5. Step 5: Solve for x
    x = 209,142,954,362.25/293,197.50
  6. Step 6: Final answer
    x = 713,317.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.