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Finding the Third Proportional to 405,000 and 604,152

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Solution

The third proportional to 405,000 and 604,152 is: 901,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,000 : 604,152 = 604,152 : x
  2. Step 2: Convert to fraction form
    405,000/604,152 = 604,152/x
  3. Step 3: Cross multiply
    405,000x = 604,152 × 604,152
  4. Step 4: Simplify right side
    405,000x = 364,999,639,104
  5. Step 5: Solve for x
    x = 364,999,639,104/405,000
  6. Step 6: Final answer
    x = 901,233.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.