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Finding the Third Proportional to 260,238 and 602,415

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Solution

The third proportional to 260,238 and 602,415 is: 1,394,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,238 : 602,415 = 602,415 : x
  2. Step 2: Convert to fraction form
    260,238/602,415 = 602,415/x
  3. Step 3: Cross multiply
    260,238x = 602,415 × 602,415
  4. Step 4: Simplify right side
    260,238x = 362,903,832,225
  5. Step 5: Solve for x
    x = 362,903,832,225/260,238
  6. Step 6: Final answer
    x = 1,394,507.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.