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Finding the Third Proportional to 486,370 and 759,075

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Solution

The third proportional to 486,370 and 759,075 is: 1,184,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,370 : 759,075 = 759,075 : x
  2. Step 2: Convert to fraction form
    486,370/759,075 = 759,075/x
  3. Step 3: Cross multiply
    486,370x = 759,075 × 759,075
  4. Step 4: Simplify right side
    486,370x = 576,194,855,625
  5. Step 5: Solve for x
    x = 576,194,855,625/486,370
  6. Step 6: Final answer
    x = 1,184,684.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.