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Finding the Third Proportional to 282,370.50 and 620,037

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Solution

The third proportional to 282,370.50 and 620,037 is: 1,361,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,370.50 : 620,037 = 620,037 : x
  2. Step 2: Convert to fraction form
    282,370.50/620,037 = 620,037/x
  3. Step 3: Cross multiply
    282,370.50x = 620,037 × 620,037
  4. Step 4: Simplify right side
    282,370.50x = 384,445,881,369
  5. Step 5: Solve for x
    x = 384,445,881,369/282,370.50
  6. Step 6: Final answer
    x = 1,361,494.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.