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Finding the Third Proportional to 264,090 and 569,250

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Solution

The third proportional to 264,090 and 569,250 is: 1,227,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,090 : 569,250 = 569,250 : x
  2. Step 2: Convert to fraction form
    264,090/569,250 = 569,250/x
  3. Step 3: Cross multiply
    264,090x = 569,250 × 569,250
  4. Step 4: Simplify right side
    264,090x = 324,045,562,500
  5. Step 5: Solve for x
    x = 324,045,562,500/264,090
  6. Step 6: Final answer
    x = 1,227,027.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.