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Finding the Third Proportional to 356,197.50 and 749,295

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Solution

The third proportional to 356,197.50 and 749,295 is: 1,576,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,197.50 : 749,295 = 749,295 : x
  2. Step 2: Convert to fraction form
    356,197.50/749,295 = 749,295/x
  3. Step 3: Cross multiply
    356,197.50x = 749,295 × 749,295
  4. Step 4: Simplify right side
    356,197.50x = 561,442,997,025
  5. Step 5: Solve for x
    x = 561,442,997,025/356,197.50
  6. Step 6: Final answer
    x = 1,576,212.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.