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Finding the Third Proportional to 403,075 and 879,832

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Solution

The third proportional to 403,075 and 879,832 is: 1,920,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,075 : 879,832 = 879,832 : x
  2. Step 2: Convert to fraction form
    403,075/879,832 = 879,832/x
  3. Step 3: Cross multiply
    403,075x = 879,832 × 879,832
  4. Step 4: Simplify right side
    403,075x = 774,104,348,224
  5. Step 5: Solve for x
    x = 774,104,348,224/403,075
  6. Step 6: Final answer
    x = 1,920,497.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.