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Finding the Third Proportional to 493,407 and 738,117

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Solution

The third proportional to 493,407 and 738,117 is: 1,104,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,407 : 738,117 = 738,117 : x
  2. Step 2: Convert to fraction form
    493,407/738,117 = 738,117/x
  3. Step 3: Cross multiply
    493,407x = 738,117 × 738,117
  4. Step 4: Simplify right side
    493,407x = 544,816,705,689
  5. Step 5: Solve for x
    x = 544,816,705,689/493,407
  6. Step 6: Final answer
    x = 1,104,193.30

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