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Finding the Third Proportional to 236,440 and 525,360

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Solution

The third proportional to 236,440 and 525,360 is: 1,167,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,440 : 525,360 = 525,360 : x
  2. Step 2: Convert to fraction form
    236,440/525,360 = 525,360/x
  3. Step 3: Cross multiply
    236,440x = 525,360 × 525,360
  4. Step 4: Simplify right side
    236,440x = 276,003,129,600
  5. Step 5: Solve for x
    x = 276,003,129,600/236,440
  6. Step 6: Final answer
    x = 1,167,328.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.