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Finding the Third Proportional to 270,224 and 602,584

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Solution

The third proportional to 270,224 and 602,584 is: 1,343,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,224 : 602,584 = 602,584 : x
  2. Step 2: Convert to fraction form
    270,224/602,584 = 602,584/x
  3. Step 3: Cross multiply
    270,224x = 602,584 × 602,584
  4. Step 4: Simplify right side
    270,224x = 363,107,477,056
  5. Step 5: Solve for x
    x = 363,107,477,056/270,224
  6. Step 6: Final answer
    x = 1,343,727.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.