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Finding the Third Proportional to 254,046 and 536,604

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Solution

The third proportional to 254,046 and 536,604 is: 1,133,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,046 : 536,604 = 536,604 : x
  2. Step 2: Convert to fraction form
    254,046/536,604 = 536,604/x
  3. Step 3: Cross multiply
    254,046x = 536,604 × 536,604
  4. Step 4: Simplify right side
    254,046x = 287,943,852,816
  5. Step 5: Solve for x
    x = 287,943,852,816/254,046
  6. Step 6: Final answer
    x = 1,133,431.95

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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.