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Finding the Third Proportional to 355,296 and 756,624

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Solution

The third proportional to 355,296 and 756,624 is: 1,611,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,296 : 756,624 = 756,624 : x
  2. Step 2: Convert to fraction form
    355,296/756,624 = 756,624/x
  3. Step 3: Cross multiply
    355,296x = 756,624 × 756,624
  4. Step 4: Simplify right side
    355,296x = 572,479,877,376
  5. Step 5: Solve for x
    x = 572,479,877,376/355,296
  6. Step 6: Final answer
    x = 1,611,275.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.