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Finding the Third Proportional to 262,234 and 575,012

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Solution

The third proportional to 262,234 and 575,012 is: 1,260,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,234 : 575,012 = 575,012 : x
  2. Step 2: Convert to fraction form
    262,234/575,012 = 575,012/x
  3. Step 3: Cross multiply
    262,234x = 575,012 × 575,012
  4. Step 4: Simplify right side
    262,234x = 330,638,800,144
  5. Step 5: Solve for x
    x = 330,638,800,144/262,234
  6. Step 6: Final answer
    x = 1,260,854.05

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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.