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Finding the Third Proportional to 366,709.78 and 583,507.55

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Solution

The third proportional to 366,709.78 and 583,507.55 is: 928,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,709.78 : 583,507.55 = 583,507.55 : x
  2. Step 2: Convert to fraction form
    366,709.78/583,507.55 = 583,507.55/x
  3. Step 3: Cross multiply
    366,709.78x = 583,507.55 × 583,507.55
  4. Step 4: Simplify right side
    366,709.78x = 340,481,057,260.08
  5. Step 5: Solve for x
    x = 340,481,057,260.08/366,709.78
  6. Step 6: Final answer
    x = 928,475.53

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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.