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Finding the Third Proportional to 245,311,443 and 497,831,238

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Solution

The third proportional to 245,311,443 and 497,831,238 is: 1,010,290,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,311,443 : 497,831,238 = 497,831,238 : x
  2. Step 2: Convert to fraction form
    245,311,443/497,831,238 = 497,831,238/x
  3. Step 3: Cross multiply
    245,311,443x = 497,831,238 × 497,831,238
  4. Step 4: Simplify right side
    245,311,443x = 247,835,941,528,612,640
  5. Step 5: Solve for x
    x = 247,835,941,528,612,640/245,311,443
  6. Step 6: Final answer
    x = 1,010,290,993.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.