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Finding the Third Proportional to 320,295,627 and 512,681,467.50

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Solution

The third proportional to 320,295,627 and 512,681,467.50 is: 820,624,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,295,627 : 512,681,467.50 = 512,681,467.50 : x
  2. Step 2: Convert to fraction form
    320,295,627/512,681,467.50 = 512,681,467.50/x
  3. Step 3: Cross multiply
    320,295,627x = 512,681,467.50 × 512,681,467.50
  4. Step 4: Simplify right side
    320,295,627x = 262,842,287,117,953,568
  5. Step 5: Solve for x
    x = 262,842,287,117,953,568/320,295,627
  6. Step 6: Final answer
    x = 820,624,026.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.