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Finding the Third Proportional to 273,017,720 and 386,311,658

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Solution

The third proportional to 273,017,720 and 386,311,658 is: 546,619,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,017,720 : 386,311,658 = 386,311,658 : x
  2. Step 2: Convert to fraction form
    273,017,720/386,311,658 = 386,311,658/x
  3. Step 3: Cross multiply
    273,017,720x = 386,311,658 × 386,311,658
  4. Step 4: Simplify right side
    273,017,720x = 149,236,697,106,708,960
  5. Step 5: Solve for x
    x = 149,236,697,106,708,960/273,017,720
  6. Step 6: Final answer
    x = 546,619,087.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.