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Finding the Third Proportional to 245,024 and 500,416

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Solution

The third proportional to 245,024 and 500,416 is: 1,022,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,024 : 500,416 = 500,416 : x
  2. Step 2: Convert to fraction form
    245,024/500,416 = 500,416/x
  3. Step 3: Cross multiply
    245,024x = 500,416 × 500,416
  4. Step 4: Simplify right side
    245,024x = 250,416,173,056
  5. Step 5: Solve for x
    x = 250,416,173,056/245,024
  6. Step 6: Final answer
    x = 1,022,006.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.