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Finding the Third Proportional to 328,476.38 and 706,052.25

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Solution

The third proportional to 328,476.38 and 706,052.25 is: 1,517,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,476.38 : 706,052.25 = 706,052.25 : x
  2. Step 2: Convert to fraction form
    328,476.38/706,052.25 = 706,052.25/x
  3. Step 3: Cross multiply
    328,476.38x = 706,052.25 × 706,052.25
  4. Step 4: Simplify right side
    328,476.38x = 498,509,779,730.06
  5. Step 5: Solve for x
    x = 498,509,779,730.06/328,476.38
  6. Step 6: Final answer
    x = 1,517,642.72

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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.