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Finding the Third Proportional to 283,962 and 607,324.50

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Solution

The third proportional to 283,962 and 607,324.50 is: 1,298,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,962 : 607,324.50 = 607,324.50 : x
  2. Step 2: Convert to fraction form
    283,962/607,324.50 = 607,324.50/x
  3. Step 3: Cross multiply
    283,962x = 607,324.50 × 607,324.50
  4. Step 4: Simplify right side
    283,962x = 368,843,048,300.25
  5. Step 5: Solve for x
    x = 368,843,048,300.25/283,962
  6. Step 6: Final answer
    x = 1,298,916.93

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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.