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Finding the Third Proportional to 359,728.50 and 519,703.50

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Solution

The third proportional to 359,728.50 and 519,703.50 is: 750,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,728.50 : 519,703.50 = 519,703.50 : x
  2. Step 2: Convert to fraction form
    359,728.50/519,703.50 = 519,703.50/x
  3. Step 3: Cross multiply
    359,728.50x = 519,703.50 × 519,703.50
  4. Step 4: Simplify right side
    359,728.50x = 270,091,727,912.25
  5. Step 5: Solve for x
    x = 270,091,727,912.25/359,728.50
  6. Step 6: Final answer
    x = 750,821.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.