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Finding the Third Proportional to 328,327 and 707,275

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Solution

The third proportional to 328,327 and 707,275 is: 1,523,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,327 : 707,275 = 707,275 : x
  2. Step 2: Convert to fraction form
    328,327/707,275 = 707,275/x
  3. Step 3: Cross multiply
    328,327x = 707,275 × 707,275
  4. Step 4: Simplify right side
    328,327x = 500,237,925,625
  5. Step 5: Solve for x
    x = 500,237,925,625/328,327
  6. Step 6: Final answer
    x = 1,523,596.68

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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.