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Finding the Third Proportional to 301,153.50 and 440,416.50

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Solution

The third proportional to 301,153.50 and 440,416.50 is: 644,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,153.50 : 440,416.50 = 440,416.50 : x
  2. Step 2: Convert to fraction form
    301,153.50/440,416.50 = 440,416.50/x
  3. Step 3: Cross multiply
    301,153.50x = 440,416.50 × 440,416.50
  4. Step 4: Simplify right side
    301,153.50x = 193,966,693,472.25
  5. Step 5: Solve for x
    x = 193,966,693,472.25/301,153.50
  6. Step 6: Final answer
    x = 644,079.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.