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Finding the Third Proportional to 359,104 and 546,112

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Solution

The third proportional to 359,104 and 546,112 is: 830,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,104 : 546,112 = 546,112 : x
  2. Step 2: Convert to fraction form
    359,104/546,112 = 546,112/x
  3. Step 3: Cross multiply
    359,104x = 546,112 × 546,112
  4. Step 4: Simplify right side
    359,104x = 298,238,316,544
  5. Step 5: Solve for x
    x = 298,238,316,544/359,104
  6. Step 6: Final answer
    x = 830,506.81

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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.