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Finding the Third Proportional to 335,896 and 520,070

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Solution

The third proportional to 335,896 and 520,070 is: 805,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,896 : 520,070 = 520,070 : x
  2. Step 2: Convert to fraction form
    335,896/520,070 = 520,070/x
  3. Step 3: Cross multiply
    335,896x = 520,070 × 520,070
  4. Step 4: Simplify right side
    335,896x = 270,472,804,900
  5. Step 5: Solve for x
    x = 270,472,804,900/335,896
  6. Step 6: Final answer
    x = 805,227.82

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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.