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Finding the Third Proportional to 328,491 and 708,252

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Solution

The third proportional to 328,491 and 708,252 is: 1,527,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,491 : 708,252 = 708,252 : x
  2. Step 2: Convert to fraction form
    328,491/708,252 = 708,252/x
  3. Step 3: Cross multiply
    328,491x = 708,252 × 708,252
  4. Step 4: Simplify right side
    328,491x = 501,620,895,504
  5. Step 5: Solve for x
    x = 501,620,895,504/328,491
  6. Step 6: Final answer
    x = 1,527,046.08

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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.