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Finding the Third Proportional to 305,742,319.50 and 467,505,582

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Solution

The third proportional to 305,742,319.50 and 467,505,582 is: 714,855,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,742,319.50 : 467,505,582 = 467,505,582 : x
  2. Step 2: Convert to fraction form
    305,742,319.50/467,505,582 = 467,505,582/x
  3. Step 3: Cross multiply
    305,742,319.50x = 467,505,582 × 467,505,582
  4. Step 4: Simplify right side
    305,742,319.50x = 218,561,469,201,158,720
  5. Step 5: Solve for x
    x = 218,561,469,201,158,720/305,742,319.50
  6. Step 6: Final answer
    x = 714,855,141.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.