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Finding the Third Proportional to 290,713,475.75 and 446,846,744

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Solution

The third proportional to 290,713,475.75 and 446,846,744 is: 686,834,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713,475.75 : 446,846,744 = 446,846,744 : x
  2. Step 2: Convert to fraction form
    290,713,475.75/446,846,744 = 446,846,744/x
  3. Step 3: Cross multiply
    290,713,475.75x = 446,846,744 × 446,846,744
  4. Step 4: Simplify right side
    290,713,475.75x = 199,672,012,623,401,536
  5. Step 5: Solve for x
    x = 199,672,012,623,401,536/290,713,475.75
  6. Step 6: Final answer
    x = 686,834,389.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.