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Finding the Third Proportional to 214,969 and 455,537

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Solution

The third proportional to 214,969 and 455,537 is: 965,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,969 : 455,537 = 455,537 : x
  2. Step 2: Convert to fraction form
    214,969/455,537 = 455,537/x
  3. Step 3: Cross multiply
    214,969x = 455,537 × 455,537
  4. Step 4: Simplify right side
    214,969x = 207,513,958,369
  5. Step 5: Solve for x
    x = 207,513,958,369/214,969
  6. Step 6: Final answer
    x = 965,320.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.