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Finding the Third Proportional to 236,902 and 506,364

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Solution

The third proportional to 236,902 and 506,364 is: 1,082,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,902 : 506,364 = 506,364 : x
  2. Step 2: Convert to fraction form
    236,902/506,364 = 506,364/x
  3. Step 3: Cross multiply
    236,902x = 506,364 × 506,364
  4. Step 4: Simplify right side
    236,902x = 256,404,500,496
  5. Step 5: Solve for x
    x = 256,404,500,496/236,902
  6. Step 6: Final answer
    x = 1,082,323.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.