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Finding the Third Proportional to 284,025 and 607,942.50

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Solution

The third proportional to 284,025 and 607,942.50 is: 1,301,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,025 : 607,942.50 = 607,942.50 : x
  2. Step 2: Convert to fraction form
    284,025/607,942.50 = 607,942.50/x
  3. Step 3: Cross multiply
    284,025x = 607,942.50 × 607,942.50
  4. Step 4: Simplify right side
    284,025x = 369,594,083,306.25
  5. Step 5: Solve for x
    x = 369,594,083,306.25/284,025
  6. Step 6: Final answer
    x = 1,301,273.07

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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.