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Finding the Third Proportional to 218,619.75 and 478,117.50

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Solution

The third proportional to 218,619.75 and 478,117.50 is: 1,045,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,619.75 : 478,117.50 = 478,117.50 : x
  2. Step 2: Convert to fraction form
    218,619.75/478,117.50 = 478,117.50/x
  3. Step 3: Cross multiply
    218,619.75x = 478,117.50 × 478,117.50
  4. Step 4: Simplify right side
    218,619.75x = 228,596,343,806.25
  5. Step 5: Solve for x
    x = 228,596,343,806.25/218,619.75
  6. Step 6: Final answer
    x = 1,045,634.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.