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Finding the Third Proportional to 359,842 and 528,098

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Solution

The third proportional to 359,842 and 528,098 is: 775,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,842 : 528,098 = 528,098 : x
  2. Step 2: Convert to fraction form
    359,842/528,098 = 528,098/x
  3. Step 3: Cross multiply
    359,842x = 528,098 × 528,098
  4. Step 4: Simplify right side
    359,842x = 278,887,497,604
  5. Step 5: Solve for x
    x = 278,887,497,604/359,842
  6. Step 6: Final answer
    x = 775,027.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.