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Finding the Third Proportional to 335,665,615.50 and 706,118,625

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Solution

The third proportional to 335,665,615.50 and 706,118,625 is: 1,485,417,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,665,615.50 : 706,118,625 = 706,118,625 : x
  2. Step 2: Convert to fraction form
    335,665,615.50/706,118,625 = 706,118,625/x
  3. Step 3: Cross multiply
    335,665,615.50x = 706,118,625 × 706,118,625
  4. Step 4: Simplify right side
    335,665,615.50x = 498,603,512,571,890,624
  5. Step 5: Solve for x
    x = 498,603,512,571,890,624/335,665,615.50
  6. Step 6: Final answer
    x = 1,485,417,300.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.