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Finding the Third Proportional to 310,024 and 735,145

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Solution

The third proportional to 310,024 and 735,145 is: 1,743,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,024 : 735,145 = 735,145 : x
  2. Step 2: Convert to fraction form
    310,024/735,145 = 735,145/x
  3. Step 3: Cross multiply
    310,024x = 735,145 × 735,145
  4. Step 4: Simplify right side
    310,024x = 540,438,171,025
  5. Step 5: Solve for x
    x = 540,438,171,025/310,024
  6. Step 6: Final answer
    x = 1,743,213.98

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Why These Related Problems?

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