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Finding the Third Proportional to 551,050 and 851,129.50

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Solution

The third proportional to 551,050 and 851,129.50 is: 1,314,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,050 : 851,129.50 = 851,129.50 : x
  2. Step 2: Convert to fraction form
    551,050/851,129.50 = 851,129.50/x
  3. Step 3: Cross multiply
    551,050x = 851,129.50 × 851,129.50
  4. Step 4: Simplify right side
    551,050x = 724,421,425,770.25
  5. Step 5: Solve for x
    x = 724,421,425,770.25/551,050
  6. Step 6: Final answer
    x = 1,314,620.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.