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Finding the Third Proportional to 214,001 and 506,089

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Solution

The third proportional to 214,001 and 506,089 is: 1,196,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,001 : 506,089 = 506,089 : x
  2. Step 2: Convert to fraction form
    214,001/506,089 = 506,089/x
  3. Step 3: Cross multiply
    214,001x = 506,089 × 506,089
  4. Step 4: Simplify right side
    214,001x = 256,126,075,921
  5. Step 5: Solve for x
    x = 256,126,075,921/214,001
  6. Step 6: Final answer
    x = 1,196,845.23

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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.