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Finding the Third Proportional to 310,610,477.25 and 494,481,550.50

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Solution

The third proportional to 310,610,477.25 and 494,481,550.50 is: 787,198,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,610,477.25 : 494,481,550.50 = 494,481,550.50 : x
  2. Step 2: Convert to fraction form
    310,610,477.25/494,481,550.50 = 494,481,550.50/x
  3. Step 3: Cross multiply
    310,610,477.25x = 494,481,550.50 × 494,481,550.50
  4. Step 4: Simplify right side
    310,610,477.25x = 244,512,003,784,884,064
  5. Step 5: Solve for x
    x = 244,512,003,784,884,064/310,610,477.25
  6. Step 6: Final answer
    x = 787,198,184.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.