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Finding the Third Proportional to 255,178 and 596,023

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Solution

The third proportional to 255,178 and 596,023 is: 1,392,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,178 : 596,023 = 596,023 : x
  2. Step 2: Convert to fraction form
    255,178/596,023 = 596,023/x
  3. Step 3: Cross multiply
    255,178x = 596,023 × 596,023
  4. Step 4: Simplify right side
    255,178x = 355,243,416,529
  5. Step 5: Solve for x
    x = 355,243,416,529/255,178
  6. Step 6: Final answer
    x = 1,392,139.67

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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.