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Finding the Third Proportional to 349,243,356 and 582,037,182

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Solution

The third proportional to 349,243,356 and 582,037,182 is: 970,003,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,243,356 : 582,037,182 = 582,037,182 : x
  2. Step 2: Convert to fraction form
    349,243,356/582,037,182 = 582,037,182/x
  3. Step 3: Cross multiply
    349,243,356x = 582,037,182 × 582,037,182
  4. Step 4: Simplify right side
    349,243,356x = 338,767,281,230,501,120
  5. Step 5: Solve for x
    x = 338,767,281,230,501,120/349,243,356
  6. Step 6: Final answer
    x = 970,003,510.19

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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.