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Finding the Third Proportional to 282,364 and 437,388

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Solution

The third proportional to 282,364 and 437,388 is: 677,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,364 : 437,388 = 437,388 : x
  2. Step 2: Convert to fraction form
    282,364/437,388 = 437,388/x
  3. Step 3: Cross multiply
    282,364x = 437,388 × 437,388
  4. Step 4: Simplify right side
    282,364x = 191,308,262,544
  5. Step 5: Solve for x
    x = 191,308,262,544/282,364
  6. Step 6: Final answer
    x = 677,523.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.