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Finding the Third Proportional to 303,265.50 and 469,675.50

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Solution

The third proportional to 303,265.50 and 469,675.50 is: 727,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,265.50 : 469,675.50 = 469,675.50 : x
  2. Step 2: Convert to fraction form
    303,265.50/469,675.50 = 469,675.50/x
  3. Step 3: Cross multiply
    303,265.50x = 469,675.50 × 469,675.50
  4. Step 4: Simplify right side
    303,265.50x = 220,595,075,300.25
  5. Step 5: Solve for x
    x = 220,595,075,300.25/303,265.50
  6. Step 6: Final answer
    x = 727,399.18

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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.