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Finding the Third Proportional to 282,254 and 432,375

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Solution

The third proportional to 282,254 and 432,375 is: 662,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,254 : 432,375 = 432,375 : x
  2. Step 2: Convert to fraction form
    282,254/432,375 = 432,375/x
  3. Step 3: Cross multiply
    282,254x = 432,375 × 432,375
  4. Step 4: Simplify right side
    282,254x = 186,948,140,625
  5. Step 5: Solve for x
    x = 186,948,140,625/282,254
  6. Step 6: Final answer
    x = 662,340.09

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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.