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Finding the Third Proportional to 277,360,462 and 600,943,196

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Solution

The third proportional to 277,360,462 and 600,943,196 is: 1,302,033,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,360,462 : 600,943,196 = 600,943,196 : x
  2. Step 2: Convert to fraction form
    277,360,462/600,943,196 = 600,943,196/x
  3. Step 3: Cross multiply
    277,360,462x = 600,943,196 × 600,943,196
  4. Step 4: Simplify right side
    277,360,462x = 361,132,724,818,694,400
  5. Step 5: Solve for x
    x = 361,132,724,818,694,400/277,360,462
  6. Step 6: Final answer
    x = 1,302,033,902.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.