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Finding the Third Proportional to 211,440 and 440,374.50

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Solution

The third proportional to 211,440 and 440,374.50 is: 917,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,440 : 440,374.50 = 440,374.50 : x
  2. Step 2: Convert to fraction form
    211,440/440,374.50 = 440,374.50/x
  3. Step 3: Cross multiply
    211,440x = 440,374.50 × 440,374.50
  4. Step 4: Simplify right side
    211,440x = 193,929,700,250.25
  5. Step 5: Solve for x
    x = 193,929,700,250.25/211,440
  6. Step 6: Final answer
    x = 917,185.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.