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Finding the Third Proportional to 515,349 and 757,611

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Solution

The third proportional to 515,349 and 757,611 is: 1,113,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,349 : 757,611 = 757,611 : x
  2. Step 2: Convert to fraction form
    515,349/757,611 = 757,611/x
  3. Step 3: Cross multiply
    515,349x = 757,611 × 757,611
  4. Step 4: Simplify right side
    515,349x = 573,974,427,321
  5. Step 5: Solve for x
    x = 573,974,427,321/515,349
  6. Step 6: Final answer
    x = 1,113,758.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.