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Finding the Third Proportional to 262,904,792.63 and 569,436,876

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Solution

The third proportional to 262,904,792.63 and 569,436,876 is: 1,233,367,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,904,792.63 : 569,436,876 = 569,436,876 : x
  2. Step 2: Convert to fraction form
    262,904,792.63/569,436,876 = 569,436,876/x
  3. Step 3: Cross multiply
    262,904,792.63x = 569,436,876 × 569,436,876
  4. Step 4: Simplify right side
    262,904,792.63x = 324,258,355,748,639,360
  5. Step 5: Solve for x
    x = 324,258,355,748,639,360/262,904,792.63
  6. Step 6: Final answer
    x = 1,233,367,990.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.