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Finding the Third Proportional to 359,842 and 528,097

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Solution

The third proportional to 359,842 and 528,097 is: 775,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,842 : 528,097 = 528,097 : x
  2. Step 2: Convert to fraction form
    359,842/528,097 = 528,097/x
  3. Step 3: Cross multiply
    359,842x = 528,097 × 528,097
  4. Step 4: Simplify right side
    359,842x = 278,886,441,409
  5. Step 5: Solve for x
    x = 278,886,441,409/359,842
  6. Step 6: Final answer
    x = 775,024.71

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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.