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Finding the Third Proportional to 340,104,878.50 and 510,068,741.50

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Solution

The third proportional to 340,104,878.50 and 510,068,741.50 is: 764,970,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,104,878.50 : 510,068,741.50 = 510,068,741.50 : x
  2. Step 2: Convert to fraction form
    340,104,878.50/510,068,741.50 = 510,068,741.50/x
  3. Step 3: Cross multiply
    340,104,878.50x = 510,068,741.50 × 510,068,741.50
  4. Step 4: Simplify right side
    340,104,878.50x = 260,170,121,055,393,824
  5. Step 5: Solve for x
    x = 260,170,121,055,393,824/340,104,878.50
  6. Step 6: Final answer
    x = 764,970,270.94

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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.