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Finding the Third Proportional to 236,457 and 363,453

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Solution

The third proportional to 236,457 and 363,453 is: 558,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,457 : 363,453 = 363,453 : x
  2. Step 2: Convert to fraction form
    236,457/363,453 = 363,453/x
  3. Step 3: Cross multiply
    236,457x = 363,453 × 363,453
  4. Step 4: Simplify right side
    236,457x = 132,098,083,209
  5. Step 5: Solve for x
    x = 132,098,083,209/236,457
  6. Step 6: Final answer
    x = 558,655.84

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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.