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Finding the Third Proportional to 262,726.31 and 546,420.66

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Solution

The third proportional to 262,726.31 and 546,420.66 is: 1,136,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,726.31 : 546,420.66 = 546,420.66 : x
  2. Step 2: Convert to fraction form
    262,726.31/546,420.66 = 546,420.66/x
  3. Step 3: Cross multiply
    262,726.31x = 546,420.66 × 546,420.66
  4. Step 4: Simplify right side
    262,726.31x = 298,575,533,576.68
  5. Step 5: Solve for x
    x = 298,575,533,576.68/262,726.31
  6. Step 6: Final answer
    x = 1,136,450.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.