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Finding the Third Proportional to 364,075.50 and 798,136.50

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Solution

The third proportional to 364,075.50 and 798,136.50 is: 1,749,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,075.50 : 798,136.50 = 798,136.50 : x
  2. Step 2: Convert to fraction form
    364,075.50/798,136.50 = 798,136.50/x
  3. Step 3: Cross multiply
    364,075.50x = 798,136.50 × 798,136.50
  4. Step 4: Simplify right side
    364,075.50x = 637,021,872,632.25
  5. Step 5: Solve for x
    x = 637,021,872,632.25/364,075.50
  6. Step 6: Final answer
    x = 1,749,697.17

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