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Finding the Third Proportional to 404,852 and 865,758

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Solution

The third proportional to 404,852 and 865,758 is: 1,851,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,852 : 865,758 = 865,758 : x
  2. Step 2: Convert to fraction form
    404,852/865,758 = 865,758/x
  3. Step 3: Cross multiply
    404,852x = 865,758 × 865,758
  4. Step 4: Simplify right side
    404,852x = 749,536,914,564
  5. Step 5: Solve for x
    x = 749,536,914,564/404,852
  6. Step 6: Final answer
    x = 1,851,384.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.