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Finding the Third Proportional to 366,927 and 583,742

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Solution

The third proportional to 366,927 and 583,742 is: 928,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,927 : 583,742 = 583,742 : x
  2. Step 2: Convert to fraction form
    366,927/583,742 = 583,742/x
  3. Step 3: Cross multiply
    366,927x = 583,742 × 583,742
  4. Step 4: Simplify right side
    366,927x = 340,754,722,564
  5. Step 5: Solve for x
    x = 340,754,722,564/366,927
  6. Step 6: Final answer
    x = 928,671.70

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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.