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Finding the Third Proportional to 212,510.25 and 462,404.25

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Solution

The third proportional to 212,510.25 and 462,404.25 is: 1,006,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,510.25 : 462,404.25 = 462,404.25 : x
  2. Step 2: Convert to fraction form
    212,510.25/462,404.25 = 462,404.25/x
  3. Step 3: Cross multiply
    212,510.25x = 462,404.25 × 462,404.25
  4. Step 4: Simplify right side
    212,510.25x = 213,817,690,418.06
  5. Step 5: Solve for x
    x = 213,817,690,418.06/212,510.25
  6. Step 6: Final answer
    x = 1,006,152.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.