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Finding the Third Proportional to 253,867.50 and 391,810.50

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Solution

The third proportional to 253,867.50 and 391,810.50 is: 604,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,867.50 : 391,810.50 = 391,810.50 : x
  2. Step 2: Convert to fraction form
    253,867.50/391,810.50 = 391,810.50/x
  3. Step 3: Cross multiply
    253,867.50x = 391,810.50 × 391,810.50
  4. Step 4: Simplify right side
    253,867.50x = 153,515,467,910.25
  5. Step 5: Solve for x
    x = 153,515,467,910.25/253,867.50
  6. Step 6: Final answer
    x = 604,707.05

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