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Finding the Third Proportional to 298,750.50 and 456,837.75

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Solution

The third proportional to 298,750.50 and 456,837.75 is: 698,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,750.50 : 456,837.75 = 456,837.75 : x
  2. Step 2: Convert to fraction form
    298,750.50/456,837.75 = 456,837.75/x
  3. Step 3: Cross multiply
    298,750.50x = 456,837.75 × 456,837.75
  4. Step 4: Simplify right side
    298,750.50x = 208,700,729,825.06
  5. Step 5: Solve for x
    x = 208,700,729,825.06/298,750.50
  6. Step 6: Final answer
    x = 698,578.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.