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Finding the Third Proportional to 350,227,847.25 and 514,801,797.75

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Solution

The third proportional to 350,227,847.25 and 514,801,797.75 is: 756,709,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,227,847.25 : 514,801,797.75 = 514,801,797.75 : x
  2. Step 2: Convert to fraction form
    350,227,847.25/514,801,797.75 = 514,801,797.75/x
  3. Step 3: Cross multiply
    350,227,847.25x = 514,801,797.75 × 514,801,797.75
  4. Step 4: Simplify right side
    350,227,847.25x = 265,020,890,966,631,904
  5. Step 5: Solve for x
    x = 265,020,890,966,631,904/350,227,847.25
  6. Step 6: Final answer
    x = 756,709,933.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.