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Finding the Third Proportional to 284,090 and 621,652

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Solution

The third proportional to 284,090 and 621,652 is: 1,360,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,090 : 621,652 = 621,652 : x
  2. Step 2: Convert to fraction form
    284,090/621,652 = 621,652/x
  3. Step 3: Cross multiply
    284,090x = 621,652 × 621,652
  4. Step 4: Simplify right side
    284,090x = 386,451,209,104
  5. Step 5: Solve for x
    x = 386,451,209,104/284,090
  6. Step 6: Final answer
    x = 1,360,312.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.