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Finding the Third Proportional to 332,058,424.88 and 726,669,378.38

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Solution

The third proportional to 332,058,424.88 and 726,669,378.38 is: 1,590,227,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,058,424.88 : 726,669,378.38 = 726,669,378.38 : x
  2. Step 2: Convert to fraction form
    332,058,424.88/726,669,378.38 = 726,669,378.38/x
  3. Step 3: Cross multiply
    332,058,424.88x = 726,669,378.38 × 726,669,378.38
  4. Step 4: Simplify right side
    332,058,424.88x = 528,048,385,467,908,928
  5. Step 5: Solve for x
    x = 528,048,385,467,908,928/332,058,424.88
  6. Step 6: Final answer
    x = 1,590,227,339.26

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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.