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Finding the Third Proportional to 232,025 and 506,662

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Solution

The third proportional to 232,025 and 506,662 is: 1,106,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,025 : 506,662 = 506,662 : x
  2. Step 2: Convert to fraction form
    232,025/506,662 = 506,662/x
  3. Step 3: Cross multiply
    232,025x = 506,662 × 506,662
  4. Step 4: Simplify right side
    232,025x = 256,706,382,244
  5. Step 5: Solve for x
    x = 256,706,382,244/232,025
  6. Step 6: Final answer
    x = 1,106,373.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.