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Finding the Third Proportional to 254,034 and 536,553

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Solution

The third proportional to 254,034 and 536,553 is: 1,133,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,034 : 536,553 = 536,553 : x
  2. Step 2: Convert to fraction form
    254,034/536,553 = 536,553/x
  3. Step 3: Cross multiply
    254,034x = 536,553 × 536,553
  4. Step 4: Simplify right side
    254,034x = 287,889,121,809
  5. Step 5: Solve for x
    x = 287,889,121,809/254,034
  6. Step 6: Final answer
    x = 1,133,270.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.