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Finding the Third Proportional to 328,617 and 529,069.50

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Solution

The third proportional to 328,617 and 529,069.50 is: 851,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,617 : 529,069.50 = 529,069.50 : x
  2. Step 2: Convert to fraction form
    328,617/529,069.50 = 529,069.50/x
  3. Step 3: Cross multiply
    328,617x = 529,069.50 × 529,069.50
  4. Step 4: Simplify right side
    328,617x = 279,914,535,830.25
  5. Step 5: Solve for x
    x = 279,914,535,830.25/328,617
  6. Step 6: Final answer
    x = 851,795.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.