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Finding the Third Proportional to 351,212 and 758,582

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Solution

The third proportional to 351,212 and 758,582 is: 1,638,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,212 : 758,582 = 758,582 : x
  2. Step 2: Convert to fraction form
    351,212/758,582 = 758,582/x
  3. Step 3: Cross multiply
    351,212x = 758,582 × 758,582
  4. Step 4: Simplify right side
    351,212x = 575,446,650,724
  5. Step 5: Solve for x
    x = 575,446,650,724/351,212
  6. Step 6: Final answer
    x = 1,638,459.54

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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.