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Finding the Third Proportional to 267,504 and 631,440

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Solution

The third proportional to 267,504 and 631,440 is: 1,490,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,504 : 631,440 = 631,440 : x
  2. Step 2: Convert to fraction form
    267,504/631,440 = 631,440/x
  3. Step 3: Cross multiply
    267,504x = 631,440 × 631,440
  4. Step 4: Simplify right side
    267,504x = 398,716,473,600
  5. Step 5: Solve for x
    x = 398,716,473,600/267,504
  6. Step 6: Final answer
    x = 1,490,506.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.