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Finding the Third Proportional to 346,001.63 and 743,735.25

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Solution

The third proportional to 346,001.63 and 743,735.25 is: 1,598,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,001.63 : 743,735.25 = 743,735.25 : x
  2. Step 2: Convert to fraction form
    346,001.63/743,735.25 = 743,735.25/x
  3. Step 3: Cross multiply
    346,001.63x = 743,735.25 × 743,735.25
  4. Step 4: Simplify right side
    346,001.63x = 553,142,122,092.56
  5. Step 5: Solve for x
    x = 553,142,122,092.56/346,001.63
  6. Step 6: Final answer
    x = 1,598,669.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.