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Finding the Third Proportional to 268,599 and 574,071

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Solution

The third proportional to 268,599 and 574,071 is: 1,226,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,599 : 574,071 = 574,071 : x
  2. Step 2: Convert to fraction form
    268,599/574,071 = 574,071/x
  3. Step 3: Cross multiply
    268,599x = 574,071 × 574,071
  4. Step 4: Simplify right side
    268,599x = 329,557,513,041
  5. Step 5: Solve for x
    x = 329,557,513,041/268,599
  6. Step 6: Final answer
    x = 1,226,949.89

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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.