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Finding the Third Proportional to 262,940 and 375,972

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Solution

The third proportional to 262,940 and 375,972 is: 537,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,940 : 375,972 = 375,972 : x
  2. Step 2: Convert to fraction form
    262,940/375,972 = 375,972/x
  3. Step 3: Cross multiply
    262,940x = 375,972 × 375,972
  4. Step 4: Simplify right side
    262,940x = 141,354,944,784
  5. Step 5: Solve for x
    x = 141,354,944,784/262,940
  6. Step 6: Final answer
    x = 537,593.92

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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.