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Finding the Third Proportional to 242,129 and 562,662

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Solution

The third proportional to 242,129 and 562,662 is: 1,307,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,129 : 562,662 = 562,662 : x
  2. Step 2: Convert to fraction form
    242,129/562,662 = 562,662/x
  3. Step 3: Cross multiply
    242,129x = 562,662 × 562,662
  4. Step 4: Simplify right side
    242,129x = 316,588,526,244
  5. Step 5: Solve for x
    x = 316,588,526,244/242,129
  6. Step 6: Final answer
    x = 1,307,520.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.