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Finding the Third Proportional to 382,243.50 and 459,055.13

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Solution

The third proportional to 382,243.50 and 459,055.13 is: 551,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,243.50 : 459,055.13 = 459,055.13 : x
  2. Step 2: Convert to fraction form
    382,243.50/459,055.13 = 459,055.13/x
  3. Step 3: Cross multiply
    382,243.50x = 459,055.13 × 459,055.13
  4. Step 4: Simplify right side
    382,243.50x = 210,731,607,788.77
  5. Step 5: Solve for x
    x = 210,731,607,788.77/382,243.50
  6. Step 6: Final answer
    x = 551,302.00

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.