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Finding the Third Proportional to 290,713,576.50 and 446,846,820.75

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Solution

The third proportional to 290,713,576.50 and 446,846,820.75 is: 686,834,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713,576.50 : 446,846,820.75 = 446,846,820.75 : x
  2. Step 2: Convert to fraction form
    290,713,576.50/446,846,820.75 = 446,846,820.75/x
  3. Step 3: Cross multiply
    290,713,576.50x = 446,846,820.75 × 446,846,820.75
  4. Step 4: Simplify right side
    290,713,576.50x = 199,672,081,214,382,624
  5. Step 5: Solve for x
    x = 199,672,081,214,382,624/290,713,576.50
  6. Step 6: Final answer
    x = 686,834,387.37

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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.