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Finding the Third Proportional to 236,748 and 570,546

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Solution

The third proportional to 236,748 and 570,546 is: 1,374,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,748 : 570,546 = 570,546 : x
  2. Step 2: Convert to fraction form
    236,748/570,546 = 570,546/x
  3. Step 3: Cross multiply
    236,748x = 570,546 × 570,546
  4. Step 4: Simplify right side
    236,748x = 325,522,738,116
  5. Step 5: Solve for x
    x = 325,522,738,116/236,748
  6. Step 6: Final answer
    x = 1,374,975.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.