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Finding the Third Proportional to 538,602 and 819,097.50

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Solution

The third proportional to 538,602 and 819,097.50 is: 1,245,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,602 : 819,097.50 = 819,097.50 : x
  2. Step 2: Convert to fraction form
    538,602/819,097.50 = 819,097.50/x
  3. Step 3: Cross multiply
    538,602x = 819,097.50 × 819,097.50
  4. Step 4: Simplify right side
    538,602x = 670,920,714,506.25
  5. Step 5: Solve for x
    x = 670,920,714,506.25/538,602
  6. Step 6: Final answer
    x = 1,245,670.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.