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Finding the Third Proportional to 210,891 and 497,815.50

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Solution

The third proportional to 210,891 and 497,815.50 is: 1,175,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,891 : 497,815.50 = 497,815.50 : x
  2. Step 2: Convert to fraction form
    210,891/497,815.50 = 497,815.50/x
  3. Step 3: Cross multiply
    210,891x = 497,815.50 × 497,815.50
  4. Step 4: Simplify right side
    210,891x = 247,820,272,040.25
  5. Step 5: Solve for x
    x = 247,820,272,040.25/210,891
  6. Step 6: Final answer
    x = 1,175,110.71

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.