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Finding the Third Proportional to 493,438 and 738,158

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Solution

The third proportional to 493,438 and 738,158 is: 1,104,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,438 : 738,158 = 738,158 : x
  2. Step 2: Convert to fraction form
    493,438/738,158 = 738,158/x
  3. Step 3: Cross multiply
    493,438x = 738,158 × 738,158
  4. Step 4: Simplify right side
    493,438x = 544,877,232,964
  5. Step 5: Solve for x
    x = 544,877,232,964/493,438
  6. Step 6: Final answer
    x = 1,104,246.60

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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.