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Finding the Third Proportional to 310,026 and 735,150

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Solution

The third proportional to 310,026 and 735,150 is: 1,743,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,026 : 735,150 = 735,150 : x
  2. Step 2: Convert to fraction form
    310,026/735,150 = 735,150/x
  3. Step 3: Cross multiply
    310,026x = 735,150 × 735,150
  4. Step 4: Simplify right side
    310,026x = 540,445,522,500
  5. Step 5: Solve for x
    x = 540,445,522,500/310,026
  6. Step 6: Final answer
    x = 1,743,226.45

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.