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Finding the Third Proportional to 258,804 and 533,160

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Solution

The third proportional to 258,804 and 533,160 is: 1,098,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,804 : 533,160 = 533,160 : x
  2. Step 2: Convert to fraction form
    258,804/533,160 = 533,160/x
  3. Step 3: Cross multiply
    258,804x = 533,160 × 533,160
  4. Step 4: Simplify right side
    258,804x = 284,259,585,600
  5. Step 5: Solve for x
    x = 284,259,585,600/258,804
  6. Step 6: Final answer
    x = 1,098,358.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.