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Finding the Third Proportional to 213,487 and 462,037

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Solution

The third proportional to 213,487 and 462,037 is: 999,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,487 : 462,037 = 462,037 : x
  2. Step 2: Convert to fraction form
    213,487/462,037 = 462,037/x
  3. Step 3: Cross multiply
    213,487x = 462,037 × 462,037
  4. Step 4: Simplify right side
    213,487x = 213,478,189,369
  5. Step 5: Solve for x
    x = 213,478,189,369/213,487
  6. Step 6: Final answer
    x = 999,958.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.