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Finding the Third Proportional to 493,621.50 and 758,394

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Solution

The third proportional to 493,621.50 and 758,394 is: 1,165,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,621.50 : 758,394 = 758,394 : x
  2. Step 2: Convert to fraction form
    493,621.50/758,394 = 758,394/x
  3. Step 3: Cross multiply
    493,621.50x = 758,394 × 758,394
  4. Step 4: Simplify right side
    493,621.50x = 575,161,459,236
  5. Step 5: Solve for x
    x = 575,161,459,236/493,621.50
  6. Step 6: Final answer
    x = 1,165,187.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.