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Finding the Third Proportional to 214,002 and 506,090

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Solution

The third proportional to 214,002 and 506,090 is: 1,196,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,002 : 506,090 = 506,090 : x
  2. Step 2: Convert to fraction form
    214,002/506,090 = 506,090/x
  3. Step 3: Cross multiply
    214,002x = 506,090 × 506,090
  4. Step 4: Simplify right side
    214,002x = 256,127,088,100
  5. Step 5: Solve for x
    x = 256,127,088,100/214,002
  6. Step 6: Final answer
    x = 1,196,844.37

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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.