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Finding the Third Proportional to 254,042 and 536,596

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Solution

The third proportional to 254,042 and 536,596 is: 1,133,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,042 : 536,596 = 536,596 : x
  2. Step 2: Convert to fraction form
    254,042/536,596 = 536,596/x
  3. Step 3: Cross multiply
    254,042x = 536,596 × 536,596
  4. Step 4: Simplify right side
    254,042x = 287,935,267,216
  5. Step 5: Solve for x
    x = 287,935,267,216/254,042
  6. Step 6: Final answer
    x = 1,133,416.00

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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.