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Finding the Third Proportional to 282,819.38 and 609,915.38

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Solution

The third proportional to 282,819.38 and 609,915.38 is: 1,315,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,819.38 : 609,915.38 = 609,915.38 : x
  2. Step 2: Convert to fraction form
    282,819.38/609,915.38 = 609,915.38/x
  3. Step 3: Cross multiply
    282,819.38x = 609,915.38 × 609,915.38
  4. Step 4: Simplify right side
    282,819.38x = 371,996,764,661.39
  5. Step 5: Solve for x
    x = 371,996,764,661.39/282,819.38
  6. Step 6: Final answer
    x = 1,315,315.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.