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Finding the Third Proportional to 273,090 and 417,951

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Solution

The third proportional to 273,090 and 417,951 is: 639,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,090 : 417,951 = 417,951 : x
  2. Step 2: Convert to fraction form
    273,090/417,951 = 417,951/x
  3. Step 3: Cross multiply
    273,090x = 417,951 × 417,951
  4. Step 4: Simplify right side
    273,090x = 174,683,038,401
  5. Step 5: Solve for x
    x = 174,683,038,401/273,090
  6. Step 6: Final answer
    x = 639,653.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.