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Finding the Third Proportional to 384,920 and 604,668

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Solution

The third proportional to 384,920 and 604,668 is: 949,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,920 : 604,668 = 604,668 : x
  2. Step 2: Convert to fraction form
    384,920/604,668 = 604,668/x
  3. Step 3: Cross multiply
    384,920x = 604,668 × 604,668
  4. Step 4: Simplify right side
    384,920x = 365,623,390,224
  5. Step 5: Solve for x
    x = 365,623,390,224/384,920
  6. Step 6: Final answer
    x = 949,868.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.