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Finding the Third Proportional to 335,882 and 709,680

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Solution

The third proportional to 335,882 and 709,680 is: 1,499,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,882 : 709,680 = 709,680 : x
  2. Step 2: Convert to fraction form
    335,882/709,680 = 709,680/x
  3. Step 3: Cross multiply
    335,882x = 709,680 × 709,680
  4. Step 4: Simplify right side
    335,882x = 503,645,702,400
  5. Step 5: Solve for x
    x = 503,645,702,400/335,882
  6. Step 6: Final answer
    x = 1,499,472.14

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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.