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Finding the Third Proportional to 259,245 and 423,322.50

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Solution

The third proportional to 259,245 and 423,322.50 is: 691,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,245 : 423,322.50 = 423,322.50 : x
  2. Step 2: Convert to fraction form
    259,245/423,322.50 = 423,322.50/x
  3. Step 3: Cross multiply
    259,245x = 423,322.50 × 423,322.50
  4. Step 4: Simplify right side
    259,245x = 179,201,939,006.25
  5. Step 5: Solve for x
    x = 179,201,939,006.25/259,245
  6. Step 6: Final answer
    x = 691,245.50

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.