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Finding the Third Proportional to 265,631 and 570,629

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Solution

The third proportional to 265,631 and 570,629 is: 1,225,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,631 : 570,629 = 570,629 : x
  2. Step 2: Convert to fraction form
    265,631/570,629 = 570,629/x
  3. Step 3: Cross multiply
    265,631x = 570,629 × 570,629
  4. Step 4: Simplify right side
    265,631x = 325,617,455,641
  5. Step 5: Solve for x
    x = 325,617,455,641/265,631
  6. Step 6: Final answer
    x = 1,225,826.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.