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Finding the Third Proportional to 318,009 and 430,357.50

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Solution

The third proportional to 318,009 and 430,357.50 is: 582,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,009 : 430,357.50 = 430,357.50 : x
  2. Step 2: Convert to fraction form
    318,009/430,357.50 = 430,357.50/x
  3. Step 3: Cross multiply
    318,009x = 430,357.50 × 430,357.50
  4. Step 4: Simplify right side
    318,009x = 185,207,577,806.25
  5. Step 5: Solve for x
    x = 185,207,577,806.25/318,009
  6. Step 6: Final answer
    x = 582,397.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.