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Finding the Third Proportional to 328,366.50 and 707,379

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Solution

The third proportional to 328,366.50 and 707,379 is: 1,523,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,366.50 : 707,379 = 707,379 : x
  2. Step 2: Convert to fraction form
    328,366.50/707,379 = 707,379/x
  3. Step 3: Cross multiply
    328,366.50x = 707,379 × 707,379
  4. Step 4: Simplify right side
    328,366.50x = 500,385,049,641
  5. Step 5: Solve for x
    x = 500,385,049,641/328,366.50
  6. Step 6: Final answer
    x = 1,523,861.45

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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.