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Finding the Third Proportional to 349,084,296 and 520,599,225.94

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Solution

The third proportional to 349,084,296 and 520,599,225.94 is: 776,384,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,084,296 : 520,599,225.94 = 520,599,225.94 : x
  2. Step 2: Convert to fraction form
    349,084,296/520,599,225.94 = 520,599,225.94/x
  3. Step 3: Cross multiply
    349,084,296x = 520,599,225.94 × 520,599,225.94
  4. Step 4: Simplify right side
    349,084,296x = 271,023,554,046,724,160
  5. Step 5: Solve for x
    x = 271,023,554,046,724,160/349,084,296
  6. Step 6: Final answer
    x = 776,384,263.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.