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Finding the Third Proportional to 354,597.75 and 477,717.75

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Solution

The third proportional to 354,597.75 and 477,717.75 is: 643,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,597.75 : 477,717.75 = 477,717.75 : x
  2. Step 2: Convert to fraction form
    354,597.75/477,717.75 = 477,717.75/x
  3. Step 3: Cross multiply
    354,597.75x = 477,717.75 × 477,717.75
  4. Step 4: Simplify right side
    354,597.75x = 228,214,248,665.06
  5. Step 5: Solve for x
    x = 228,214,248,665.06/354,597.75
  6. Step 6: Final answer
    x = 643,586.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.