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Finding the Third Proportional to 236,440 and 363,412

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Solution

The third proportional to 236,440 and 363,412 is: 558,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,440 : 363,412 = 363,412 : x
  2. Step 2: Convert to fraction form
    236,440/363,412 = 363,412/x
  3. Step 3: Cross multiply
    236,440x = 363,412 × 363,412
  4. Step 4: Simplify right side
    236,440x = 132,068,281,744
  5. Step 5: Solve for x
    x = 132,068,281,744/236,440
  6. Step 6: Final answer
    x = 558,569.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.