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Finding the Third Proportional to 283,954,744 and 424,797,012.50

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Solution

The third proportional to 283,954,744 and 424,797,012.50 is: 635,497,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,954,744 : 424,797,012.50 = 424,797,012.50 : x
  2. Step 2: Convert to fraction form
    283,954,744/424,797,012.50 = 424,797,012.50/x
  3. Step 3: Cross multiply
    283,954,744x = 424,797,012.50 × 424,797,012.50
  4. Step 4: Simplify right side
    283,954,744x = 180,452,501,828,925,152
  5. Step 5: Solve for x
    x = 180,452,501,828,925,152/283,954,744
  6. Step 6: Final answer
    x = 635,497,401.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.