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Finding the Third Proportional to 328,361 and 499,162.50

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Solution

The third proportional to 328,361 and 499,162.50 is: 758,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,361 : 499,162.50 = 499,162.50 : x
  2. Step 2: Convert to fraction form
    328,361/499,162.50 = 499,162.50/x
  3. Step 3: Cross multiply
    328,361x = 499,162.50 × 499,162.50
  4. Step 4: Simplify right side
    328,361x = 249,163,201,406.25
  5. Step 5: Solve for x
    x = 249,163,201,406.25/328,361
  6. Step 6: Final answer
    x = 758,808.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.