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Finding the Third Proportional to 359,828 and 528,077

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Solution

The third proportional to 359,828 and 528,077 is: 774,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,828 : 528,077 = 528,077 : x
  2. Step 2: Convert to fraction form
    359,828/528,077 = 528,077/x
  3. Step 3: Cross multiply
    359,828x = 528,077 × 528,077
  4. Step 4: Simplify right side
    359,828x = 278,865,317,929
  5. Step 5: Solve for x
    x = 278,865,317,929/359,828
  6. Step 6: Final answer
    x = 774,996.16

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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.