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Finding the Third Proportional to 301,250.50 and 435,290.50

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Solution

The third proportional to 301,250.50 and 435,290.50 is: 628,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,250.50 : 435,290.50 = 435,290.50 : x
  2. Step 2: Convert to fraction form
    301,250.50/435,290.50 = 435,290.50/x
  3. Step 3: Cross multiply
    301,250.50x = 435,290.50 × 435,290.50
  4. Step 4: Simplify right side
    301,250.50x = 189,477,819,390.25
  5. Step 5: Solve for x
    x = 189,477,819,390.25/301,250.50
  6. Step 6: Final answer
    x = 628,970.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.