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Finding the Third Proportional to 344,705 and 744,751

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Solution

The third proportional to 344,705 and 744,751 is: 1,609,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,705 : 744,751 = 744,751 : x
  2. Step 2: Convert to fraction form
    344,705/744,751 = 744,751/x
  3. Step 3: Cross multiply
    344,705x = 744,751 × 744,751
  4. Step 4: Simplify right side
    344,705x = 554,654,052,001
  5. Step 5: Solve for x
    x = 554,654,052,001/344,705
  6. Step 6: Final answer
    x = 1,609,068.77

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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.