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Finding the Third Proportional to 602,672 and 884,325

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Solution

The third proportional to 602,672 and 884,325 is: 1,297,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,672 : 884,325 = 884,325 : x
  2. Step 2: Convert to fraction form
    602,672/884,325 = 884,325/x
  3. Step 3: Cross multiply
    602,672x = 884,325 × 884,325
  4. Step 4: Simplify right side
    602,672x = 782,030,705,625
  5. Step 5: Solve for x
    x = 782,030,705,625/602,672
  6. Step 6: Final answer
    x = 1,297,605.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.