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Finding the Third Proportional to 366,709 and 583,477

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Solution

The third proportional to 366,709 and 583,477 is: 928,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,709 : 583,477 = 583,477 : x
  2. Step 2: Convert to fraction form
    366,709/583,477 = 583,477/x
  3. Step 3: Cross multiply
    366,709x = 583,477 × 583,477
  4. Step 4: Simplify right side
    366,709x = 340,445,409,529
  5. Step 5: Solve for x
    x = 340,445,409,529/366,709
  6. Step 6: Final answer
    x = 928,380.29

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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.