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Finding the Third Proportional to 255,186 and 596,043

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Solution

The third proportional to 255,186 and 596,043 is: 1,392,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,186 : 596,043 = 596,043 : x
  2. Step 2: Convert to fraction form
    255,186/596,043 = 596,043/x
  3. Step 3: Cross multiply
    255,186x = 596,043 × 596,043
  4. Step 4: Simplify right side
    255,186x = 355,267,257,849
  5. Step 5: Solve for x
    x = 355,267,257,849/255,186
  6. Step 6: Final answer
    x = 1,392,189.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.