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Finding the Third Proportional to 277,270,434 and 600,775,878

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Solution

The third proportional to 277,270,434 and 600,775,878 is: 1,301,731,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,270,434 : 600,775,878 = 600,775,878 : x
  2. Step 2: Convert to fraction form
    277,270,434/600,775,878 = 600,775,878/x
  3. Step 3: Cross multiply
    277,270,434x = 600,775,878 × 600,775,878
  4. Step 4: Simplify right side
    277,270,434x = 360,931,655,586,670,912
  5. Step 5: Solve for x
    x = 360,931,655,586,670,912/277,270,434
  6. Step 6: Final answer
    x = 1,301,731,491.45

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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.