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Finding the Third Proportional to 407,074 and 596,027

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Solution

The third proportional to 407,074 and 596,027 is: 872,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,074 : 596,027 = 596,027 : x
  2. Step 2: Convert to fraction form
    407,074/596,027 = 596,027/x
  3. Step 3: Cross multiply
    407,074x = 596,027 × 596,027
  4. Step 4: Simplify right side
    407,074x = 355,248,184,729
  5. Step 5: Solve for x
    x = 355,248,184,729/407,074
  6. Step 6: Final answer
    x = 872,686.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.