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Finding the Third Proportional to 328,386.38 and 707,431.50

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Solution

The third proportional to 328,386.38 and 707,431.50 is: 1,523,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,386.38 : 707,431.50 = 707,431.50 : x
  2. Step 2: Convert to fraction form
    328,386.38/707,431.50 = 707,431.50/x
  3. Step 3: Cross multiply
    328,386.38x = 707,431.50 × 707,431.50
  4. Step 4: Simplify right side
    328,386.38x = 500,459,327,192.25
  5. Step 5: Solve for x
    x = 500,459,327,192.25/328,386.38
  6. Step 6: Final answer
    x = 1,523,995.41

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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.