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Finding the Third Proportional to 370,058.63 and 769,205.11

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Solution

The third proportional to 370,058.63 and 769,205.11 is: 1,598,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,058.63 : 769,205.11 = 769,205.11 : x
  2. Step 2: Convert to fraction form
    370,058.63/769,205.11 = 769,205.11/x
  3. Step 3: Cross multiply
    370,058.63x = 769,205.11 × 769,205.11
  4. Step 4: Simplify right side
    370,058.63x = 591,676,500,288.61
  5. Step 5: Solve for x
    x = 591,676,500,288.61/370,058.63
  6. Step 6: Final answer
    x = 1,598,872.34

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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.