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Finding the Third Proportional to 575,698 and 901,059

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Solution

The third proportional to 575,698 and 901,059 is: 1,410,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,698 : 901,059 = 901,059 : x
  2. Step 2: Convert to fraction form
    575,698/901,059 = 901,059/x
  3. Step 3: Cross multiply
    575,698x = 901,059 × 901,059
  4. Step 4: Simplify right side
    575,698x = 811,907,321,481
  5. Step 5: Solve for x
    x = 811,907,321,481/575,698
  6. Step 6: Final answer
    x = 1,410,300.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.