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Finding the Third Proportional to 236,896 and 506,352

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Solution

The third proportional to 236,896 and 506,352 is: 1,082,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,896 : 506,352 = 506,352 : x
  2. Step 2: Convert to fraction form
    236,896/506,352 = 506,352/x
  3. Step 3: Cross multiply
    236,896x = 506,352 × 506,352
  4. Step 4: Simplify right side
    236,896x = 256,392,347,904
  5. Step 5: Solve for x
    x = 256,392,347,904/236,896
  6. Step 6: Final answer
    x = 1,082,299.19

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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.