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Finding the Third Proportional to 493,431 and 738,145.50

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Solution

The third proportional to 493,431 and 738,145.50 is: 1,104,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,431 : 738,145.50 = 738,145.50 : x
  2. Step 2: Convert to fraction form
    493,431/738,145.50 = 738,145.50/x
  3. Step 3: Cross multiply
    493,431x = 738,145.50 × 738,145.50
  4. Step 4: Simplify right side
    493,431x = 544,858,779,170.25
  5. Step 5: Solve for x
    x = 544,858,779,170.25/493,431
  6. Step 6: Final answer
    x = 1,104,224.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.