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Finding the Third Proportional to 359,009.72 and 545,975.44

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Solution

The third proportional to 359,009.72 and 545,975.44 is: 830,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,009.72 : 545,975.44 = 545,975.44 : x
  2. Step 2: Convert to fraction form
    359,009.72/545,975.44 = 545,975.44/x
  3. Step 3: Cross multiply
    359,009.72x = 545,975.44 × 545,975.44
  4. Step 4: Simplify right side
    359,009.72x = 298,089,178,353.32
  5. Step 5: Solve for x
    x = 298,089,178,353.32/359,009.72
  6. Step 6: Final answer
    x = 830,309.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.