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Finding the Third Proportional to 236,470 and 525,418

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Solution

The third proportional to 236,470 and 525,418 is: 1,167,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,470 : 525,418 = 525,418 : x
  2. Step 2: Convert to fraction form
    236,470/525,418 = 525,418/x
  3. Step 3: Cross multiply
    236,470x = 525,418 × 525,418
  4. Step 4: Simplify right side
    236,470x = 276,064,074,724
  5. Step 5: Solve for x
    x = 276,064,074,724/236,470
  6. Step 6: Final answer
    x = 1,167,438.05

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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.