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Finding the Third Proportional to 353,818 and 740,444

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Solution

The third proportional to 353,818 and 740,444 is: 1,549,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,818 : 740,444 = 740,444 : x
  2. Step 2: Convert to fraction form
    353,818/740,444 = 740,444/x
  3. Step 3: Cross multiply
    353,818x = 740,444 × 740,444
  4. Step 4: Simplify right side
    353,818x = 548,257,317,136
  5. Step 5: Solve for x
    x = 548,257,317,136/353,818
  6. Step 6: Final answer
    x = 1,549,546.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.