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Finding the Third Proportional to 294,174.75 and 642,297

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Solution

The third proportional to 294,174.75 and 642,297 is: 1,402,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,174.75 : 642,297 = 642,297 : x
  2. Step 2: Convert to fraction form
    294,174.75/642,297 = 642,297/x
  3. Step 3: Cross multiply
    294,174.75x = 642,297 × 642,297
  4. Step 4: Simplify right side
    294,174.75x = 412,545,436,209
  5. Step 5: Solve for x
    x = 412,545,436,209/294,174.75
  6. Step 6: Final answer
    x = 1,402,382.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.