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Finding the Third Proportional to 240,415 and 380,692

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Solution

The third proportional to 240,415 and 380,692 is: 602,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,415 : 380,692 = 380,692 : x
  2. Step 2: Convert to fraction form
    240,415/380,692 = 380,692/x
  3. Step 3: Cross multiply
    240,415x = 380,692 × 380,692
  4. Step 4: Simplify right side
    240,415x = 144,926,398,864
  5. Step 5: Solve for x
    x = 144,926,398,864/240,415
  6. Step 6: Final answer
    x = 602,817.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.