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Finding the Third Proportional to 359,828 and 525,916

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Solution

The third proportional to 359,828 and 525,916 is: 768,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,828 : 525,916 = 525,916 : x
  2. Step 2: Convert to fraction form
    359,828/525,916 = 525,916/x
  3. Step 3: Cross multiply
    359,828x = 525,916 × 525,916
  4. Step 4: Simplify right side
    359,828x = 276,587,639,056
  5. Step 5: Solve for x
    x = 276,587,639,056/359,828
  6. Step 6: Final answer
    x = 768,666.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.