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Finding the Third Proportional to 264,286 and 376,746

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Solution

The third proportional to 264,286 and 376,746 is: 537,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,286 : 376,746 = 376,746 : x
  2. Step 2: Convert to fraction form
    264,286/376,746 = 376,746/x
  3. Step 3: Cross multiply
    264,286x = 376,746 × 376,746
  4. Step 4: Simplify right side
    264,286x = 141,937,548,516
  5. Step 5: Solve for x
    x = 141,937,548,516/264,286
  6. Step 6: Final answer
    x = 537,060.41

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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.