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Finding the Third Proportional to 351,018 and 758,073

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Solution

The third proportional to 351,018 and 758,073 is: 1,637,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,018 : 758,073 = 758,073 : x
  2. Step 2: Convert to fraction form
    351,018/758,073 = 758,073/x
  3. Step 3: Cross multiply
    351,018x = 758,073 × 758,073
  4. Step 4: Simplify right side
    351,018x = 574,674,673,329
  5. Step 5: Solve for x
    x = 574,674,673,329/351,018
  6. Step 6: Final answer
    x = 1,637,165.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.