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Finding the Third Proportional to 374,319 and 811,699

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Solution

The third proportional to 374,319 and 811,699 is: 1,760,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,319 : 811,699 = 811,699 : x
  2. Step 2: Convert to fraction form
    374,319/811,699 = 811,699/x
  3. Step 3: Cross multiply
    374,319x = 811,699 × 811,699
  4. Step 4: Simplify right side
    374,319x = 658,855,266,601
  5. Step 5: Solve for x
    x = 658,855,266,601/374,319
  6. Step 6: Final answer
    x = 1,760,143.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.