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Finding the Third Proportional to 305,858,399.63 and 453,052,794.38

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Solution

The third proportional to 305,858,399.63 and 453,052,794.38 is: 671,084,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,858,399.63 : 453,052,794.38 = 453,052,794.38 : x
  2. Step 2: Convert to fraction form
    305,858,399.63/453,052,794.38 = 453,052,794.38/x
  3. Step 3: Cross multiply
    305,858,399.63x = 453,052,794.38 × 453,052,794.38
  4. Step 4: Simplify right side
    305,858,399.63x = 205,256,834,490,996,032
  5. Step 5: Solve for x
    x = 205,256,834,490,996,032/305,858,399.63
  6. Step 6: Final answer
    x = 671,084,510.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.