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Finding the Third Proportional to 301,296 and 654,432

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Solution

The third proportional to 301,296 and 654,432 is: 1,421,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,296 : 654,432 = 654,432 : x
  2. Step 2: Convert to fraction form
    301,296/654,432 = 654,432/x
  3. Step 3: Cross multiply
    301,296x = 654,432 × 654,432
  4. Step 4: Simplify right side
    301,296x = 428,281,242,624
  5. Step 5: Solve for x
    x = 428,281,242,624/301,296
  6. Step 6: Final answer
    x = 1,421,463.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.