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Finding the Third Proportional to 328,486 and 708,244

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Solution

The third proportional to 328,486 and 708,244 is: 1,527,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,486 : 708,244 = 708,244 : x
  2. Step 2: Convert to fraction form
    328,486/708,244 = 708,244/x
  3. Step 3: Cross multiply
    328,486x = 708,244 × 708,244
  4. Step 4: Simplify right side
    328,486x = 501,609,563,536
  5. Step 5: Solve for x
    x = 501,609,563,536/328,486
  6. Step 6: Final answer
    x = 1,527,034.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.