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Finding the Third Proportional to 359,716.50 and 540,501.75

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Solution

The third proportional to 359,716.50 and 540,501.75 is: 812,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,716.50 : 540,501.75 = 540,501.75 : x
  2. Step 2: Convert to fraction form
    359,716.50/540,501.75 = 540,501.75/x
  3. Step 3: Cross multiply
    359,716.50x = 540,501.75 × 540,501.75
  4. Step 4: Simplify right side
    359,716.50x = 292,142,141,753.06
  5. Step 5: Solve for x
    x = 292,142,141,753.06/359,716.50
  6. Step 6: Final answer
    x = 812,145.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.