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Finding the Third Proportional to 282,627 and 606,199.50

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Solution

The third proportional to 282,627 and 606,199.50 is: 1,300,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,627 : 606,199.50 = 606,199.50 : x
  2. Step 2: Convert to fraction form
    282,627/606,199.50 = 606,199.50/x
  3. Step 3: Cross multiply
    282,627x = 606,199.50 × 606,199.50
  4. Step 4: Simplify right side
    282,627x = 367,477,833,800.25
  5. Step 5: Solve for x
    x = 367,477,833,800.25/282,627
  6. Step 6: Final answer
    x = 1,300,221.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.