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Finding the Third Proportional to 302,419.50 and 446,734.50

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Solution

The third proportional to 302,419.50 and 446,734.50 is: 659,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,419.50 : 446,734.50 = 446,734.50 : x
  2. Step 2: Convert to fraction form
    302,419.50/446,734.50 = 446,734.50/x
  3. Step 3: Cross multiply
    302,419.50x = 446,734.50 × 446,734.50
  4. Step 4: Simplify right side
    302,419.50x = 199,571,713,490.25
  5. Step 5: Solve for x
    x = 199,571,713,490.25/302,419.50
  6. Step 6: Final answer
    x = 659,916.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.