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Finding the Third Proportional to 366,968 and 583,805

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Solution

The third proportional to 366,968 and 583,805 is: 928,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,968 : 583,805 = 583,805 : x
  2. Step 2: Convert to fraction form
    366,968/583,805 = 583,805/x
  3. Step 3: Cross multiply
    366,968x = 583,805 × 583,805
  4. Step 4: Simplify right side
    366,968x = 340,828,278,025
  5. Step 5: Solve for x
    x = 340,828,278,025/366,968
  6. Step 6: Final answer
    x = 928,768.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.