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Finding the Third Proportional to 291,274 and 623,034

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Solution

The third proportional to 291,274 and 623,034 is: 1,332,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,274 : 623,034 = 623,034 : x
  2. Step 2: Convert to fraction form
    291,274/623,034 = 623,034/x
  3. Step 3: Cross multiply
    291,274x = 623,034 × 623,034
  4. Step 4: Simplify right side
    291,274x = 388,171,365,156
  5. Step 5: Solve for x
    x = 388,171,365,156/291,274
  6. Step 6: Final answer
    x = 1,332,667.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.