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Finding the Third Proportional to 493,486.50 and 743,878.13

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Solution

The third proportional to 493,486.50 and 743,878.13 is: 1,121,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,486.50 : 743,878.13 = 743,878.13 : x
  2. Step 2: Convert to fraction form
    493,486.50/743,878.13 = 743,878.13/x
  3. Step 3: Cross multiply
    493,486.50x = 743,878.13 × 743,878.13
  4. Step 4: Simplify right side
    493,486.50x = 553,354,664,853.52
  5. Step 5: Solve for x
    x = 553,354,664,853.52/493,486.50
  6. Step 6: Final answer
    x = 1,121,316.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.