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Finding the Third Proportional to 366,925 and 583,739

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Solution

The third proportional to 366,925 and 583,739 is: 928,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,925 : 583,739 = 583,739 : x
  2. Step 2: Convert to fraction form
    366,925/583,739 = 583,739/x
  3. Step 3: Cross multiply
    366,925x = 583,739 × 583,739
  4. Step 4: Simplify right side
    366,925x = 340,751,220,121
  5. Step 5: Solve for x
    x = 340,751,220,121/366,925
  6. Step 6: Final answer
    x = 928,667.22

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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.