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Finding the Third Proportional to 294,327 and 452,972.25

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Solution

The third proportional to 294,327 and 452,972.25 is: 697,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,327 : 452,972.25 = 452,972.25 : x
  2. Step 2: Convert to fraction form
    294,327/452,972.25 = 452,972.25/x
  3. Step 3: Cross multiply
    294,327x = 452,972.25 × 452,972.25
  4. Step 4: Simplify right side
    294,327x = 205,183,859,270.06
  5. Step 5: Solve for x
    x = 205,183,859,270.06/294,327
  6. Step 6: Final answer
    x = 697,128.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.