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Finding the Third Proportional to 340,400.81 and 462,528.56

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Solution

The third proportional to 340,400.81 and 462,528.56 is: 628,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,400.81 : 462,528.56 = 462,528.56 : x
  2. Step 2: Convert to fraction form
    340,400.81/462,528.56 = 462,528.56/x
  3. Step 3: Cross multiply
    340,400.81x = 462,528.56 × 462,528.56
  4. Step 4: Simplify right side
    340,400.81x = 213,932,671,128.32
  5. Step 5: Solve for x
    x = 213,932,671,128.32/340,400.81
  6. Step 6: Final answer
    x = 628,472.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.