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Finding the Third Proportional to 264,448 and 570,975

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Solution

The third proportional to 264,448 and 570,975 is: 1,232,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,448 : 570,975 = 570,975 : x
  2. Step 2: Convert to fraction form
    264,448/570,975 = 570,975/x
  3. Step 3: Cross multiply
    264,448x = 570,975 × 570,975
  4. Step 4: Simplify right side
    264,448x = 326,012,450,625
  5. Step 5: Solve for x
    x = 326,012,450,625/264,448
  6. Step 6: Final answer
    x = 1,232,803.62

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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.