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Finding the Third Proportional to 255,178 and 596,022

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Solution

The third proportional to 255,178 and 596,022 is: 1,392,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,178 : 596,022 = 596,022 : x
  2. Step 2: Convert to fraction form
    255,178/596,022 = 596,022/x
  3. Step 3: Cross multiply
    255,178x = 596,022 × 596,022
  4. Step 4: Simplify right side
    255,178x = 355,242,224,484
  5. Step 5: Solve for x
    x = 355,242,224,484/255,178
  6. Step 6: Final answer
    x = 1,392,135.00

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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.