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Finding the Third Proportional to 299,905.50 and 452,956.50

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Solution

The third proportional to 299,905.50 and 452,956.50 is: 684,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,905.50 : 452,956.50 = 452,956.50 : x
  2. Step 2: Convert to fraction form
    299,905.50/452,956.50 = 452,956.50/x
  3. Step 3: Cross multiply
    299,905.50x = 452,956.50 × 452,956.50
  4. Step 4: Simplify right side
    299,905.50x = 205,169,590,892.25
  5. Step 5: Solve for x
    x = 205,169,590,892.25/299,905.50
  6. Step 6: Final answer
    x = 684,114.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.