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Finding the Third Proportional to 264,549 and 397,428

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Solution

The third proportional to 264,549 and 397,428 is: 597,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,549 : 397,428 = 397,428 : x
  2. Step 2: Convert to fraction form
    264,549/397,428 = 397,428/x
  3. Step 3: Cross multiply
    264,549x = 397,428 × 397,428
  4. Step 4: Simplify right side
    264,549x = 157,949,015,184
  5. Step 5: Solve for x
    x = 157,949,015,184/264,549
  6. Step 6: Final answer
    x = 597,050.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.