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Finding the Third Proportional to 366,944 and 583,769

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Solution

The third proportional to 366,944 and 583,769 is: 928,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,944 : 583,769 = 583,769 : x
  2. Step 2: Convert to fraction form
    366,944/583,769 = 583,769/x
  3. Step 3: Cross multiply
    366,944x = 583,769 × 583,769
  4. Step 4: Simplify right side
    366,944x = 340,786,245,361
  5. Step 5: Solve for x
    x = 340,786,245,361/366,944
  6. Step 6: Final answer
    x = 928,714.59

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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.