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Finding the Third Proportional to 245,625 and 537,075

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Solution

The third proportional to 245,625 and 537,075 is: 1,174,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,625 : 537,075 = 537,075 : x
  2. Step 2: Convert to fraction form
    245,625/537,075 = 537,075/x
  3. Step 3: Cross multiply
    245,625x = 537,075 × 537,075
  4. Step 4: Simplify right side
    245,625x = 288,449,555,625
  5. Step 5: Solve for x
    x = 288,449,555,625/245,625
  6. Step 6: Final answer
    x = 1,174,349.34

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Why These Related Problems?

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