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Finding the Third Proportional to 335,764 and 709,071

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Solution

The third proportional to 335,764 and 709,071 is: 1,497,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,764 : 709,071 = 709,071 : x
  2. Step 2: Convert to fraction form
    335,764/709,071 = 709,071/x
  3. Step 3: Cross multiply
    335,764x = 709,071 × 709,071
  4. Step 4: Simplify right side
    335,764x = 502,781,683,041
  5. Step 5: Solve for x
    x = 502,781,683,041/335,764
  6. Step 6: Final answer
    x = 1,497,425.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.