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Finding the Third Proportional to 294,329 and 452,975

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Solution

The third proportional to 294,329 and 452,975 is: 697,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,329 : 452,975 = 452,975 : x
  2. Step 2: Convert to fraction form
    294,329/452,975 = 452,975/x
  3. Step 3: Cross multiply
    294,329x = 452,975 × 452,975
  4. Step 4: Simplify right side
    294,329x = 205,186,350,625
  5. Step 5: Solve for x
    x = 205,186,350,625/294,329
  6. Step 6: Final answer
    x = 697,132.63

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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.