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Finding the Third Proportional to 476,200 and 719,166

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Solution

The third proportional to 476,200 and 719,166 is: 1,086,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,200 : 719,166 = 719,166 : x
  2. Step 2: Convert to fraction form
    476,200/719,166 = 719,166/x
  3. Step 3: Cross multiply
    476,200x = 719,166 × 719,166
  4. Step 4: Simplify right side
    476,200x = 517,199,735,556
  5. Step 5: Solve for x
    x = 517,199,735,556/476,200
  6. Step 6: Final answer
    x = 1,086,097.72

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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.