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Finding the Third Proportional to 293,955,072 and 686,593,408

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Solution

The third proportional to 293,955,072 and 686,593,408 is: 1,603,682,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,955,072 : 686,593,408 = 686,593,408 : x
  2. Step 2: Convert to fraction form
    293,955,072/686,593,408 = 686,593,408/x
  3. Step 3: Cross multiply
    293,955,072x = 686,593,408 × 686,593,408
  4. Step 4: Simplify right side
    293,955,072x = 471,410,507,909,054,464
  5. Step 5: Solve for x
    x = 471,410,507,909,054,464/293,955,072
  6. Step 6: Final answer
    x = 1,603,682,170.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.