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Finding the Third Proportional to 258,534 and 540,492

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Solution

The third proportional to 258,534 and 540,492 is: 1,129,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,534 : 540,492 = 540,492 : x
  2. Step 2: Convert to fraction form
    258,534/540,492 = 540,492/x
  3. Step 3: Cross multiply
    258,534x = 540,492 × 540,492
  4. Step 4: Simplify right side
    258,534x = 292,131,602,064
  5. Step 5: Solve for x
    x = 292,131,602,064/258,534
  6. Step 6: Final answer
    x = 1,129,954.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.