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Finding the Third Proportional to 277,360,458 and 600,943,188

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Solution

The third proportional to 277,360,458 and 600,943,188 is: 1,302,033,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,360,458 : 600,943,188 = 600,943,188 : x
  2. Step 2: Convert to fraction form
    277,360,458/600,943,188 = 600,943,188/x
  3. Step 3: Cross multiply
    277,360,458x = 600,943,188 × 600,943,188
  4. Step 4: Simplify right side
    277,360,458x = 361,132,715,203,603,328
  5. Step 5: Solve for x
    x = 361,132,715,203,603,328/277,360,458
  6. Step 6: Final answer
    x = 1,302,033,886.91

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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.