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Finding the Third Proportional to 302,417.50 and 446,731.50

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Solution

The third proportional to 302,417.50 and 446,731.50 is: 659,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,417.50 : 446,731.50 = 446,731.50 : x
  2. Step 2: Convert to fraction form
    302,417.50/446,731.50 = 446,731.50/x
  3. Step 3: Cross multiply
    302,417.50x = 446,731.50 × 446,731.50
  4. Step 4: Simplify right side
    302,417.50x = 199,569,033,092.25
  5. Step 5: Solve for x
    x = 199,569,033,092.25/302,417.50
  6. Step 6: Final answer
    x = 659,912.32

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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.