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Finding the Third Proportional to 276,835,424 and 653,496,480

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Solution

The third proportional to 276,835,424 and 653,496,480 is: 1,542,640,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,835,424 : 653,496,480 = 653,496,480 : x
  2. Step 2: Convert to fraction form
    276,835,424/653,496,480 = 653,496,480/x
  3. Step 3: Cross multiply
    276,835,424x = 653,496,480 × 653,496,480
  4. Step 4: Simplify right side
    276,835,424x = 427,057,649,372,390,400
  5. Step 5: Solve for x
    x = 427,057,649,372,390,400/276,835,424
  6. Step 6: Final answer
    x = 1,542,640,906.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.