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Finding the Third Proportional to 292,415 and 628,342

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Solution

The third proportional to 292,415 and 628,342 is: 1,350,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,415 : 628,342 = 628,342 : x
  2. Step 2: Convert to fraction form
    292,415/628,342 = 628,342/x
  3. Step 3: Cross multiply
    292,415x = 628,342 × 628,342
  4. Step 4: Simplify right side
    292,415x = 394,813,668,964
  5. Step 5: Solve for x
    x = 394,813,668,964/292,415
  6. Step 6: Final answer
    x = 1,350,182.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.