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Finding the Third Proportional to 282,709 and 437,192

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Solution

The third proportional to 282,709 and 437,192 is: 676,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,709 : 437,192 = 437,192 : x
  2. Step 2: Convert to fraction form
    282,709/437,192 = 437,192/x
  3. Step 3: Cross multiply
    282,709x = 437,192 × 437,192
  4. Step 4: Simplify right side
    282,709x = 191,136,844,864
  5. Step 5: Solve for x
    x = 191,136,844,864/282,709
  6. Step 6: Final answer
    x = 676,090.41

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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.