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Finding the Third Proportional to 490,070.25 and 735,075

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Solution

The third proportional to 490,070.25 and 735,075 is: 1,102,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,070.25 : 735,075 = 735,075 : x
  2. Step 2: Convert to fraction form
    490,070.25/735,075 = 735,075/x
  3. Step 3: Cross multiply
    490,070.25x = 735,075 × 735,075
  4. Step 4: Simplify right side
    490,070.25x = 540,335,255,625
  5. Step 5: Solve for x
    x = 540,335,255,625/490,070.25
  6. Step 6: Final answer
    x = 1,102,566.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.