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Finding the Third Proportional to 328,472.50 and 706,046

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Solution

The third proportional to 328,472.50 and 706,046 is: 1,517,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,472.50 : 706,046 = 706,046 : x
  2. Step 2: Convert to fraction form
    328,472.50/706,046 = 706,046/x
  3. Step 3: Cross multiply
    328,472.50x = 706,046 × 706,046
  4. Step 4: Simplify right side
    328,472.50x = 498,500,954,116
  5. Step 5: Solve for x
    x = 498,500,954,116/328,472.50
  6. Step 6: Final answer
    x = 1,517,633.76

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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.