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Finding the Third Proportional to 384,400 and 575,064

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Solution

The third proportional to 384,400 and 575,064 is: 860,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,400 : 575,064 = 575,064 : x
  2. Step 2: Convert to fraction form
    384,400/575,064 = 575,064/x
  3. Step 3: Cross multiply
    384,400x = 575,064 × 575,064
  4. Step 4: Simplify right side
    384,400x = 330,698,604,096
  5. Step 5: Solve for x
    x = 330,698,604,096/384,400
  6. Step 6: Final answer
    x = 860,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.