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Finding the Third Proportional to 255,186 and 554,604

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Solution

The third proportional to 255,186 and 554,604 is: 1,205,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,186 : 554,604 = 554,604 : x
  2. Step 2: Convert to fraction form
    255,186/554,604 = 554,604/x
  3. Step 3: Cross multiply
    255,186x = 554,604 × 554,604
  4. Step 4: Simplify right side
    255,186x = 307,585,596,816
  5. Step 5: Solve for x
    x = 307,585,596,816/255,186
  6. Step 6: Final answer
    x = 1,205,338.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.