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Finding the Third Proportional to 355,804 and 541,038

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Solution

The third proportional to 355,804 and 541,038 is: 822,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,804 : 541,038 = 541,038 : x
  2. Step 2: Convert to fraction form
    355,804/541,038 = 541,038/x
  3. Step 3: Cross multiply
    355,804x = 541,038 × 541,038
  4. Step 4: Simplify right side
    355,804x = 292,722,117,444
  5. Step 5: Solve for x
    x = 292,722,117,444/355,804
  6. Step 6: Final answer
    x = 822,706.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.