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Finding the Third Proportional to 366,940 and 583,761

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Solution

The third proportional to 366,940 and 583,761 is: 928,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,940 : 583,761 = 583,761 : x
  2. Step 2: Convert to fraction form
    366,940/583,761 = 583,761/x
  3. Step 3: Cross multiply
    366,940x = 583,761 × 583,761
  4. Step 4: Simplify right side
    366,940x = 340,776,905,121
  5. Step 5: Solve for x
    x = 340,776,905,121/366,940
  6. Step 6: Final answer
    x = 928,699.26

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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.