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Finding the Third Proportional to 286,274 and 378,513

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Solution

The third proportional to 286,274 and 378,513 is: 500,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,274 : 378,513 = 378,513 : x
  2. Step 2: Convert to fraction form
    286,274/378,513 = 378,513/x
  3. Step 3: Cross multiply
    286,274x = 378,513 × 378,513
  4. Step 4: Simplify right side
    286,274x = 143,272,091,169
  5. Step 5: Solve for x
    x = 143,272,091,169/286,274
  6. Step 6: Final answer
    x = 500,471.89

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.