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Finding the Third Proportional to 333,722 and 711,742

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Solution

The third proportional to 333,722 and 711,742 is: 1,517,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,722 : 711,742 = 711,742 : x
  2. Step 2: Convert to fraction form
    333,722/711,742 = 711,742/x
  3. Step 3: Cross multiply
    333,722x = 711,742 × 711,742
  4. Step 4: Simplify right side
    333,722x = 506,576,674,564
  5. Step 5: Solve for x
    x = 506,576,674,564/333,722
  6. Step 6: Final answer
    x = 1,517,960.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.