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Finding the Third Proportional to 431,604 and 653,400

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Solution

The third proportional to 431,604 and 653,400 is: 989,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,604 : 653,400 = 653,400 : x
  2. Step 2: Convert to fraction form
    431,604/653,400 = 653,400/x
  3. Step 3: Cross multiply
    431,604x = 653,400 × 653,400
  4. Step 4: Simplify right side
    431,604x = 426,931,560,000
  5. Step 5: Solve for x
    x = 426,931,560,000/431,604
  6. Step 6: Final answer
    x = 989,174.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.