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Finding the Third Proportional to 212,337 and 500,539.50

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Solution

The third proportional to 212,337 and 500,539.50 is: 1,179,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,337 : 500,539.50 = 500,539.50 : x
  2. Step 2: Convert to fraction form
    212,337/500,539.50 = 500,539.50/x
  3. Step 3: Cross multiply
    212,337x = 500,539.50 × 500,539.50
  4. Step 4: Simplify right side
    212,337x = 250,539,791,060.25
  5. Step 5: Solve for x
    x = 250,539,791,060.25/212,337
  6. Step 6: Final answer
    x = 1,179,915.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.