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Finding the Third Proportional to 300,592,489 and 662,330,217.25

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Solution

The third proportional to 300,592,489 and 662,330,217.25 is: 1,459,388,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,592,489 : 662,330,217.25 = 662,330,217.25 : x
  2. Step 2: Convert to fraction form
    300,592,489/662,330,217.25 = 662,330,217.25/x
  3. Step 3: Cross multiply
    300,592,489x = 662,330,217.25 × 662,330,217.25
  4. Step 4: Simplify right side
    300,592,489x = 438,681,316,682,432,192
  5. Step 5: Solve for x
    x = 438,681,316,682,432,192/300,592,489
  6. Step 6: Final answer
    x = 1,459,388,816.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.