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Finding the Third Proportional to 349,243,360 and 582,037,188

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Solution

The third proportional to 349,243,360 and 582,037,188 is: 970,003,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,243,360 : 582,037,188 = 582,037,188 : x
  2. Step 2: Convert to fraction form
    349,243,360/582,037,188 = 582,037,188/x
  3. Step 3: Cross multiply
    349,243,360x = 582,037,188 × 582,037,188
  4. Step 4: Simplify right side
    349,243,360x = 338,767,288,214,947,328
  5. Step 5: Solve for x
    x = 338,767,288,214,947,328/349,243,360
  6. Step 6: Final answer
    x = 970,003,519.08

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.