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Finding the Third Proportional to 255,176 and 596,018

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Solution

The third proportional to 255,176 and 596,018 is: 1,392,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,176 : 596,018 = 596,018 : x
  2. Step 2: Convert to fraction form
    255,176/596,018 = 596,018/x
  3. Step 3: Cross multiply
    255,176x = 596,018 × 596,018
  4. Step 4: Simplify right side
    255,176x = 355,237,456,324
  5. Step 5: Solve for x
    x = 355,237,456,324/255,176
  6. Step 6: Final answer
    x = 1,392,127.22

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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.