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Finding the Third Proportional to 213,814 and 461,528

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Solution

The third proportional to 213,814 and 461,528 is: 996,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,814 : 461,528 = 461,528 : x
  2. Step 2: Convert to fraction form
    213,814/461,528 = 461,528/x
  3. Step 3: Cross multiply
    213,814x = 461,528 × 461,528
  4. Step 4: Simplify right side
    213,814x = 213,008,094,784
  5. Step 5: Solve for x
    x = 213,008,094,784/213,814
  6. Step 6: Final answer
    x = 996,230.81

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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.