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Finding the Third Proportional to 349,698,840.75 and 765,101,223

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Solution

The third proportional to 349,698,840.75 and 765,101,223 is: 1,673,954,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,698,840.75 : 765,101,223 = 765,101,223 : x
  2. Step 2: Convert to fraction form
    349,698,840.75/765,101,223 = 765,101,223/x
  3. Step 3: Cross multiply
    349,698,840.75x = 765,101,223 × 765,101,223
  4. Step 4: Simplify right side
    349,698,840.75x = 585,379,881,436,095,744
  5. Step 5: Solve for x
    x = 585,379,881,436,095,744/349,698,840.75
  6. Step 6: Final answer
    x = 1,673,954,309.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.