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Finding the Third Proportional to 353,322 and 785,009.25

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Solution

The third proportional to 353,322 and 785,009.25 is: 1,744,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,322 : 785,009.25 = 785,009.25 : x
  2. Step 2: Convert to fraction form
    353,322/785,009.25 = 785,009.25/x
  3. Step 3: Cross multiply
    353,322x = 785,009.25 × 785,009.25
  4. Step 4: Simplify right side
    353,322x = 616,239,522,585.56
  5. Step 5: Solve for x
    x = 616,239,522,585.56/353,322
  6. Step 6: Final answer
    x = 1,744,130.06

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.