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Finding the Third Proportional to 301,606.50 and 468,946.50

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Solution

The third proportional to 301,606.50 and 468,946.50 is: 729,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,606.50 : 468,946.50 = 468,946.50 : x
  2. Step 2: Convert to fraction form
    301,606.50/468,946.50 = 468,946.50/x
  3. Step 3: Cross multiply
    301,606.50x = 468,946.50 × 468,946.50
  4. Step 4: Simplify right side
    301,606.50x = 219,910,819,862.25
  5. Step 5: Solve for x
    x = 219,910,819,862.25/301,606.50
  6. Step 6: Final answer
    x = 729,131.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.