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Finding the Third Proportional to 369,216 and 527,994

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Solution

The third proportional to 369,216 and 527,994 is: 755,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,216 : 527,994 = 527,994 : x
  2. Step 2: Convert to fraction form
    369,216/527,994 = 527,994/x
  3. Step 3: Cross multiply
    369,216x = 527,994 × 527,994
  4. Step 4: Simplify right side
    369,216x = 278,777,664,036
  5. Step 5: Solve for x
    x = 278,777,664,036/369,216
  6. Step 6: Final answer
    x = 755,053.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.