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Finding the Third Proportional to 277,360,464 and 600,943,200

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Solution

The third proportional to 277,360,464 and 600,943,200 is: 1,302,033,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,360,464 : 600,943,200 = 600,943,200 : x
  2. Step 2: Convert to fraction form
    277,360,464/600,943,200 = 600,943,200/x
  3. Step 3: Cross multiply
    277,360,464x = 600,943,200 × 600,943,200
  4. Step 4: Simplify right side
    277,360,464x = 361,132,729,626,240,000
  5. Step 5: Solve for x
    x = 361,132,729,626,240,000/277,360,464
  6. Step 6: Final answer
    x = 1,302,033,910.74

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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.