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Finding the Third Proportional to 423,212 and 574,125

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Solution

The third proportional to 423,212 and 574,125 is: 778,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,212 : 574,125 = 574,125 : x
  2. Step 2: Convert to fraction form
    423,212/574,125 = 574,125/x
  3. Step 3: Cross multiply
    423,212x = 574,125 × 574,125
  4. Step 4: Simplify right side
    423,212x = 329,619,515,625
  5. Step 5: Solve for x
    x = 329,619,515,625/423,212
  6. Step 6: Final answer
    x = 778,852.01

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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.