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Finding the Third Proportional to 292,428 and 628,369

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Solution

The third proportional to 292,428 and 628,369 is: 1,350,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,428 : 628,369 = 628,369 : x
  2. Step 2: Convert to fraction form
    292,428/628,369 = 628,369/x
  3. Step 3: Cross multiply
    292,428x = 628,369 × 628,369
  4. Step 4: Simplify right side
    292,428x = 394,847,600,161
  5. Step 5: Solve for x
    x = 394,847,600,161/292,428
  6. Step 6: Final answer
    x = 1,350,238.69

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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.