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Finding the Third Proportional to 353,975.06 and 561,383.81

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Solution

The third proportional to 353,975.06 and 561,383.81 is: 890,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,975.06 : 561,383.81 = 561,383.81 : x
  2. Step 2: Convert to fraction form
    353,975.06/561,383.81 = 561,383.81/x
  3. Step 3: Cross multiply
    353,975.06x = 561,383.81 × 561,383.81
  4. Step 4: Simplify right side
    353,975.06x = 315,151,784,937.04
  5. Step 5: Solve for x
    x = 315,151,784,937.04/353,975.06
  6. Step 6: Final answer
    x = 890,322.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.