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Finding the Third Proportional to 262,407 and 575,250

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Solution

The third proportional to 262,407 and 575,250 is: 1,261,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,407 : 575,250 = 575,250 : x
  2. Step 2: Convert to fraction form
    262,407/575,250 = 575,250/x
  3. Step 3: Cross multiply
    262,407x = 575,250 × 575,250
  4. Step 4: Simplify right side
    262,407x = 330,912,562,500
  5. Step 5: Solve for x
    x = 330,912,562,500/262,407
  6. Step 6: Final answer
    x = 1,261,066.06

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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.