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Finding the Third Proportional to 294,333 and 452,982

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Solution

The third proportional to 294,333 and 452,982 is: 697,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,333 : 452,982 = 452,982 : x
  2. Step 2: Convert to fraction form
    294,333/452,982 = 452,982/x
  3. Step 3: Cross multiply
    294,333x = 452,982 × 452,982
  4. Step 4: Simplify right side
    294,333x = 205,192,692,324
  5. Step 5: Solve for x
    x = 205,192,692,324/294,333
  6. Step 6: Final answer
    x = 697,144.70

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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.