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Finding the Third Proportional to 328,266 and 714,046.50

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Solution

The third proportional to 328,266 and 714,046.50 is: 1,553,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,266 : 714,046.50 = 714,046.50 : x
  2. Step 2: Convert to fraction form
    328,266/714,046.50 = 714,046.50/x
  3. Step 3: Cross multiply
    328,266x = 714,046.50 × 714,046.50
  4. Step 4: Simplify right side
    328,266x = 509,862,404,162.25
  5. Step 5: Solve for x
    x = 509,862,404,162.25/328,266
  6. Step 6: Final answer
    x = 1,553,198.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.