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Finding the Third Proportional to 282,363 and 414,126

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Solution

The third proportional to 282,363 and 414,126 is: 607,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,363 : 414,126 = 414,126 : x
  2. Step 2: Convert to fraction form
    282,363/414,126 = 414,126/x
  3. Step 3: Cross multiply
    282,363x = 414,126 × 414,126
  4. Step 4: Simplify right side
    282,363x = 171,500,343,876
  5. Step 5: Solve for x
    x = 171,500,343,876/282,363
  6. Step 6: Final answer
    x = 607,375.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.