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Finding the Third Proportional to 255,172 and 596,008

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Solution

The third proportional to 255,172 and 596,008 is: 1,392,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,172 : 596,008 = 596,008 : x
  2. Step 2: Convert to fraction form
    255,172/596,008 = 596,008/x
  3. Step 3: Cross multiply
    255,172x = 596,008 × 596,008
  4. Step 4: Simplify right side
    255,172x = 355,225,536,064
  5. Step 5: Solve for x
    x = 355,225,536,064/255,172
  6. Step 6: Final answer
    x = 1,392,102.33

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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.