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Finding the Third Proportional to 236,750 and 570,551

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Solution

The third proportional to 236,750 and 570,551 is: 1,374,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,750 : 570,551 = 570,551 : x
  2. Step 2: Convert to fraction form
    236,750/570,551 = 570,551/x
  3. Step 3: Cross multiply
    236,750x = 570,551 × 570,551
  4. Step 4: Simplify right side
    236,750x = 325,528,443,601
  5. Step 5: Solve for x
    x = 325,528,443,601/236,750
  6. Step 6: Final answer
    x = 1,374,988.15

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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.