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Finding the Third Proportional to 527,071.50 and 1,159,099.50

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Solution

The third proportional to 527,071.50 and 1,159,099.50 is: 2,549,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,071.50 : 1,159,099.50 = 1,159,099.50 : x
  2. Step 2: Convert to fraction form
    527,071.50/1,159,099.50 = 1,159,099.50/x
  3. Step 3: Cross multiply
    527,071.50x = 1,159,099.50 × 1,159,099.50
  4. Step 4: Simplify right side
    527,071.50x = 1,343,511,650,900.25
  5. Step 5: Solve for x
    x = 1,343,511,650,900.25/527,071.50
  6. Step 6: Final answer
    x = 2,549,012.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.