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Finding the Third Proportional to 344,699 and 744,738

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Solution

The third proportional to 344,699 and 744,738 is: 1,609,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,699 : 744,738 = 744,738 : x
  2. Step 2: Convert to fraction form
    344,699/744,738 = 744,738/x
  3. Step 3: Cross multiply
    344,699x = 744,738 × 744,738
  4. Step 4: Simplify right side
    344,699x = 554,634,688,644
  5. Step 5: Solve for x
    x = 554,634,688,644/344,699
  6. Step 6: Final answer
    x = 1,609,040.61

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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.