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Finding the Third Proportional to 212,442.75 and 462,235.50

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Solution

The third proportional to 212,442.75 and 462,235.50 is: 1,005,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,442.75 : 462,235.50 = 462,235.50 : x
  2. Step 2: Convert to fraction form
    212,442.75/462,235.50 = 462,235.50/x
  3. Step 3: Cross multiply
    212,442.75x = 462,235.50 × 462,235.50
  4. Step 4: Simplify right side
    212,442.75x = 213,661,657,460.25
  5. Step 5: Solve for x
    x = 213,661,657,460.25/212,442.75
  6. Step 6: Final answer
    x = 1,005,737.58

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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.