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Finding the Third Proportional to 328,323.38 and 707,266.69

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Solution

The third proportional to 328,323.38 and 707,266.69 is: 1,523,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,323.38 : 707,266.69 = 707,266.69 : x
  2. Step 2: Convert to fraction form
    328,323.38/707,266.69 = 707,266.69/x
  3. Step 3: Cross multiply
    328,323.38x = 707,266.69 × 707,266.69
  4. Step 4: Simplify right side
    328,323.38x = 500,226,167,247.22
  5. Step 5: Solve for x
    x = 500,226,167,247.22/328,323.38
  6. Step 6: Final answer
    x = 1,523,577.68

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Why These Related Problems?

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