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Finding the Third Proportional to 423,272 and 574,848

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Solution

The third proportional to 423,272 and 574,848 is: 780,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,272 : 574,848 = 574,848 : x
  2. Step 2: Convert to fraction form
    423,272/574,848 = 574,848/x
  3. Step 3: Cross multiply
    423,272x = 574,848 × 574,848
  4. Step 4: Simplify right side
    423,272x = 330,450,223,104
  5. Step 5: Solve for x
    x = 330,450,223,104/423,272
  6. Step 6: Final answer
    x = 780,704.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.