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Finding the Third Proportional to 430,218 and 945,319.50

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Solution

The third proportional to 430,218 and 945,319.50 is: 2,077,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,218 : 945,319.50 = 945,319.50 : x
  2. Step 2: Convert to fraction form
    430,218/945,319.50 = 945,319.50/x
  3. Step 3: Cross multiply
    430,218x = 945,319.50 × 945,319.50
  4. Step 4: Simplify right side
    430,218x = 893,628,957,080.25
  5. Step 5: Solve for x
    x = 893,628,957,080.25/430,218
  6. Step 6: Final answer
    x = 2,077,153.81

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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.