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Finding the Third Proportional to 303,292,434 and 654,913,194

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Solution

The third proportional to 303,292,434 and 654,913,194 is: 1,414,183,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,292,434 : 654,913,194 = 654,913,194 : x
  2. Step 2: Convert to fraction form
    303,292,434/654,913,194 = 654,913,194/x
  3. Step 3: Cross multiply
    303,292,434x = 654,913,194 × 654,913,194
  4. Step 4: Simplify right side
    303,292,434x = 428,911,291,675,281,664
  5. Step 5: Solve for x
    x = 428,911,291,675,281,664/303,292,434
  6. Step 6: Final answer
    x = 1,414,183,947.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.