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Finding the Third Proportional to 379,377,758 and 569,066,598

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Solution

The third proportional to 379,377,758 and 569,066,598 is: 853,599,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,377,758 : 569,066,598 = 569,066,598 : x
  2. Step 2: Convert to fraction form
    379,377,758/569,066,598 = 569,066,598/x
  3. Step 3: Cross multiply
    379,377,758x = 569,066,598 × 569,066,598
  4. Step 4: Simplify right side
    379,377,758x = 323,836,792,959,293,632
  5. Step 5: Solve for x
    x = 323,836,792,959,293,632/379,377,758
  6. Step 6: Final answer
    x = 853,599,838.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.