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Finding the Third Proportional to 548,235.84 and 847,254.94

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Solution

The third proportional to 548,235.84 and 847,254.94 is: 1,309,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,235.84 : 847,254.94 = 847,254.94 : x
  2. Step 2: Convert to fraction form
    548,235.84/847,254.94 = 847,254.94/x
  3. Step 3: Cross multiply
    548,235.84x = 847,254.94 × 847,254.94
  4. Step 4: Simplify right side
    548,235.84x = 717,840,929,118.13
  5. Step 5: Solve for x
    x = 717,840,929,118.13/548,235.84
  6. Step 6: Final answer
    x = 1,309,365.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.