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Finding the Third Proportional to 328,549.50 and 706,182

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Solution

The third proportional to 328,549.50 and 706,182 is: 1,517,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,549.50 : 706,182 = 706,182 : x
  2. Step 2: Convert to fraction form
    328,549.50/706,182 = 706,182/x
  3. Step 3: Cross multiply
    328,549.50x = 706,182 × 706,182
  4. Step 4: Simplify right side
    328,549.50x = 498,693,017,124
  5. Step 5: Solve for x
    x = 498,693,017,124/328,549.50
  6. Step 6: Final answer
    x = 1,517,862.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.