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Finding the Third Proportional to 335,897 and 520,071

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Solution

The third proportional to 335,897 and 520,071 is: 805,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,897 : 520,071 = 520,071 : x
  2. Step 2: Convert to fraction form
    335,897/520,071 = 520,071/x
  3. Step 3: Cross multiply
    335,897x = 520,071 × 520,071
  4. Step 4: Simplify right side
    335,897x = 270,473,845,041
  5. Step 5: Solve for x
    x = 270,473,845,041/335,897
  6. Step 6: Final answer
    x = 805,228.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.