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Finding the Third Proportional to 301,762.50 and 628,075.50

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Solution

The third proportional to 301,762.50 and 628,075.50 is: 1,307,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,762.50 : 628,075.50 = 628,075.50 : x
  2. Step 2: Convert to fraction form
    301,762.50/628,075.50 = 628,075.50/x
  3. Step 3: Cross multiply
    301,762.50x = 628,075.50 × 628,075.50
  4. Step 4: Simplify right side
    301,762.50x = 394,478,833,700.25
  5. Step 5: Solve for x
    x = 394,478,833,700.25/301,762.50
  6. Step 6: Final answer
    x = 1,307,249.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.