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Finding the Third Proportional to 365,075.25 and 798,971.25

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Solution

The third proportional to 365,075.25 and 798,971.25 is: 1,748,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,075.25 : 798,971.25 = 798,971.25 : x
  2. Step 2: Convert to fraction form
    365,075.25/798,971.25 = 798,971.25/x
  3. Step 3: Cross multiply
    365,075.25x = 798,971.25 × 798,971.25
  4. Step 4: Simplify right side
    365,075.25x = 638,355,058,326.56
  5. Step 5: Solve for x
    x = 638,355,058,326.56/365,075.25
  6. Step 6: Final answer
    x = 1,748,557.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.