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Finding the Third Proportional to 359,016 and 545,985

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Solution

The third proportional to 359,016 and 545,985 is: 830,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,016 : 545,985 = 545,985 : x
  2. Step 2: Convert to fraction form
    359,016/545,985 = 545,985/x
  3. Step 3: Cross multiply
    359,016x = 545,985 × 545,985
  4. Step 4: Simplify right side
    359,016x = 298,099,620,225
  5. Step 5: Solve for x
    x = 298,099,620,225/359,016
  6. Step 6: Final answer
    x = 830,324.05

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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.