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Finding the Third Proportional to 264,545 and 397,421

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Solution

The third proportional to 264,545 and 397,421 is: 597,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,545 : 397,421 = 397,421 : x
  2. Step 2: Convert to fraction form
    264,545/397,421 = 397,421/x
  3. Step 3: Cross multiply
    264,545x = 397,421 × 397,421
  4. Step 4: Simplify right side
    264,545x = 157,943,451,241
  5. Step 5: Solve for x
    x = 157,943,451,241/264,545
  6. Step 6: Final answer
    x = 597,038.13

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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.