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Finding the Third Proportional to 322,515 and 500,404.50

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Solution

The third proportional to 322,515 and 500,404.50 is: 776,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,515 : 500,404.50 = 500,404.50 : x
  2. Step 2: Convert to fraction form
    322,515/500,404.50 = 500,404.50/x
  3. Step 3: Cross multiply
    322,515x = 500,404.50 × 500,404.50
  4. Step 4: Simplify right side
    322,515x = 250,404,663,620.25
  5. Step 5: Solve for x
    x = 250,404,663,620.25/322,515
  6. Step 6: Final answer
    x = 776,412.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.