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Finding the Third Proportional to 265,602 and 575,456

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Solution

The third proportional to 265,602 and 575,456 is: 1,246,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,602 : 575,456 = 575,456 : x
  2. Step 2: Convert to fraction form
    265,602/575,456 = 575,456/x
  3. Step 3: Cross multiply
    265,602x = 575,456 × 575,456
  4. Step 4: Simplify right side
    265,602x = 331,149,607,936
  5. Step 5: Solve for x
    x = 331,149,607,936/265,602
  6. Step 6: Final answer
    x = 1,246,788.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.