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Finding the Third Proportional to 262,950 and 375,987

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Solution

The third proportional to 262,950 and 375,987 is: 537,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,950 : 375,987 = 375,987 : x
  2. Step 2: Convert to fraction form
    262,950/375,987 = 375,987/x
  3. Step 3: Cross multiply
    262,950x = 375,987 × 375,987
  4. Step 4: Simplify right side
    262,950x = 141,366,224,169
  5. Step 5: Solve for x
    x = 141,366,224,169/262,950
  6. Step 6: Final answer
    x = 537,616.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.