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Finding the Third Proportional to 355,810 and 541,047

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Solution

The third proportional to 355,810 and 541,047 is: 822,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,810 : 541,047 = 541,047 : x
  2. Step 2: Convert to fraction form
    355,810/541,047 = 541,047/x
  3. Step 3: Cross multiply
    355,810x = 541,047 × 541,047
  4. Step 4: Simplify right side
    355,810x = 292,731,856,209
  5. Step 5: Solve for x
    x = 292,731,856,209/355,810
  6. Step 6: Final answer
    x = 822,719.59

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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.