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Finding the Third Proportional to 361,584 and 525,960

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Solution

The third proportional to 361,584 and 525,960 is: 765,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,584 : 525,960 = 525,960 : x
  2. Step 2: Convert to fraction form
    361,584/525,960 = 525,960/x
  3. Step 3: Cross multiply
    361,584x = 525,960 × 525,960
  4. Step 4: Simplify right side
    361,584x = 276,633,921,600
  5. Step 5: Solve for x
    x = 276,633,921,600/361,584
  6. Step 6: Final answer
    x = 765,061.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.