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Finding the Third Proportional to 307,011,120.75 and 501,268,459.50

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Solution

The third proportional to 307,011,120.75 and 501,268,459.50 is: 818,439,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,011,120.75 : 501,268,459.50 = 501,268,459.50 : x
  2. Step 2: Convert to fraction form
    307,011,120.75/501,268,459.50 = 501,268,459.50/x
  3. Step 3: Cross multiply
    307,011,120.75x = 501,268,459.50 × 501,268,459.50
  4. Step 4: Simplify right side
    307,011,120.75x = 251,270,068,489,503,136
  5. Step 5: Solve for x
    x = 251,270,068,489,503,136/307,011,120.75
  6. Step 6: Final answer
    x = 818,439,631.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.