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Finding the Third Proportional to 291,261.38 and 602,742.38

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Solution

The third proportional to 291,261.38 and 602,742.38 is: 1,247,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,261.38 : 602,742.38 = 602,742.38 : x
  2. Step 2: Convert to fraction form
    291,261.38/602,742.38 = 602,742.38/x
  3. Step 3: Cross multiply
    291,261.38x = 602,742.38 × 602,742.38
  4. Step 4: Simplify right side
    291,261.38x = 363,298,370,620.64
  5. Step 5: Solve for x
    x = 363,298,370,620.64/291,261.38
  6. Step 6: Final answer
    x = 1,247,327.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.