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Finding the Third Proportional to 359,070 and 546,067

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Solution

The third proportional to 359,070 and 546,067 is: 830,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,070 : 546,067 = 546,067 : x
  2. Step 2: Convert to fraction form
    359,070/546,067 = 546,067/x
  3. Step 3: Cross multiply
    359,070x = 546,067 × 546,067
  4. Step 4: Simplify right side
    359,070x = 298,189,168,489
  5. Step 5: Solve for x
    x = 298,189,168,489/359,070
  6. Step 6: Final answer
    x = 830,448.57

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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.