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Finding the Third Proportional to 359,079.75 and 546,081.75

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Solution

The third proportional to 359,079.75 and 546,081.75 is: 830,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,079.75 : 546,081.75 = 546,081.75 : x
  2. Step 2: Convert to fraction form
    359,079.75/546,081.75 = 546,081.75/x
  3. Step 3: Cross multiply
    359,079.75x = 546,081.75 × 546,081.75
  4. Step 4: Simplify right side
    359,079.75x = 298,205,277,683.06
  5. Step 5: Solve for x
    x = 298,205,277,683.06/359,079.75
  6. Step 6: Final answer
    x = 830,470.88

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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.