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Finding the Third Proportional to 359,169.75 and 535,641.75

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Solution

The third proportional to 359,169.75 and 535,641.75 is: 798,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,169.75 : 535,641.75 = 535,641.75 : x
  2. Step 2: Convert to fraction form
    359,169.75/535,641.75 = 535,641.75/x
  3. Step 3: Cross multiply
    359,169.75x = 535,641.75 × 535,641.75
  4. Step 4: Simplify right side
    359,169.75x = 286,912,084,343.06
  5. Step 5: Solve for x
    x = 286,912,084,343.06/359,169.75
  6. Step 6: Final answer
    x = 798,820.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.