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Finding the Third Proportional to 360,472,721 and 740,055,171

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Solution

The third proportional to 360,472,721 and 740,055,171 is: 1,519,342,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,472,721 : 740,055,171 = 740,055,171 : x
  2. Step 2: Convert to fraction form
    360,472,721/740,055,171 = 740,055,171/x
  3. Step 3: Cross multiply
    360,472,721x = 740,055,171 × 740,055,171
  4. Step 4: Simplify right side
    360,472,721x = 547,681,656,123,839,232
  5. Step 5: Solve for x
    x = 547,681,656,123,839,232/360,472,721
  6. Step 6: Final answer
    x = 1,519,342,863.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.