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Finding the Third Proportional to 340,105,500 and 510,069,672

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Solution

The third proportional to 340,105,500 and 510,069,672 is: 764,971,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,105,500 : 510,069,672 = 510,069,672 : x
  2. Step 2: Convert to fraction form
    340,105,500/510,069,672 = 510,069,672/x
  3. Step 3: Cross multiply
    340,105,500x = 510,069,672 × 510,069,672
  4. Step 4: Simplify right side
    340,105,500x = 260,171,070,294,187,584
  5. Step 5: Solve for x
    x = 260,171,070,294,187,584/340,105,500
  6. Step 6: Final answer
    x = 764,971,664.07

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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.