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Finding the Third Proportional to 369,085,876 and 519,094,590

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Solution

The third proportional to 369,085,876 and 519,094,590 is: 730,071,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,085,876 : 519,094,590 = 519,094,590 : x
  2. Step 2: Convert to fraction form
    369,085,876/519,094,590 = 519,094,590/x
  3. Step 3: Cross multiply
    369,085,876x = 519,094,590 × 519,094,590
  4. Step 4: Simplify right side
    369,085,876x = 269,459,193,367,268,096
  5. Step 5: Solve for x
    x = 269,459,193,367,268,096/369,085,876
  6. Step 6: Final answer
    x = 730,071,809.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.