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Finding the Third Proportional to 214,006 and 506,100

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Solution

The third proportional to 214,006 and 506,100 is: 1,196,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,006 : 506,100 = 506,100 : x
  2. Step 2: Convert to fraction form
    214,006/506,100 = 506,100/x
  3. Step 3: Cross multiply
    214,006x = 506,100 × 506,100
  4. Step 4: Simplify right side
    214,006x = 256,137,210,000
  5. Step 5: Solve for x
    x = 256,137,210,000/214,006
  6. Step 6: Final answer
    x = 1,196,869.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.