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Finding the Third Proportional to 360,472,860 and 740,055,480

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Solution

The third proportional to 360,472,860 and 740,055,480 is: 1,519,343,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,472,860 : 740,055,480 = 740,055,480 : x
  2. Step 2: Convert to fraction form
    360,472,860/740,055,480 = 740,055,480/x
  3. Step 3: Cross multiply
    360,472,860x = 740,055,480 × 740,055,480
  4. Step 4: Simplify right side
    360,472,860x = 547,682,113,478,030,400
  5. Step 5: Solve for x
    x = 547,682,113,478,030,400/360,472,860
  6. Step 6: Final answer
    x = 1,519,343,546.36

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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.