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Finding the Third Proportional to 508,075.50 and 779,680.50

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Solution

The third proportional to 508,075.50 and 779,680.50 is: 1,196,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,075.50 : 779,680.50 = 779,680.50 : x
  2. Step 2: Convert to fraction form
    508,075.50/779,680.50 = 779,680.50/x
  3. Step 3: Cross multiply
    508,075.50x = 779,680.50 × 779,680.50
  4. Step 4: Simplify right side
    508,075.50x = 607,901,682,080.25
  5. Step 5: Solve for x
    x = 607,901,682,080.25/508,075.50
  6. Step 6: Final answer
    x = 1,196,479.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.