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Finding the Third Proportional to 259,394 and 476,164

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Solution

The third proportional to 259,394 and 476,164 is: 874,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,394 : 476,164 = 476,164 : x
  2. Step 2: Convert to fraction form
    259,394/476,164 = 476,164/x
  3. Step 3: Cross multiply
    259,394x = 476,164 × 476,164
  4. Step 4: Simplify right side
    259,394x = 226,732,154,896
  5. Step 5: Solve for x
    x = 226,732,154,896/259,394
  6. Step 6: Final answer
    x = 874,084.04

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.