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Finding the Third Proportional to 282,256 and 432,378

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Solution

The third proportional to 282,256 and 432,378 is: 662,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,256 : 432,378 = 432,378 : x
  2. Step 2: Convert to fraction form
    282,256/432,378 = 432,378/x
  3. Step 3: Cross multiply
    282,256x = 432,378 × 432,378
  4. Step 4: Simplify right side
    282,256x = 186,950,734,884
  5. Step 5: Solve for x
    x = 186,950,734,884/282,256
  6. Step 6: Final answer
    x = 662,344.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.