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Finding the Third Proportional to 333,863 and 707,453

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Solution

The third proportional to 333,863 and 707,453 is: 1,499,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,863 : 707,453 = 707,453 : x
  2. Step 2: Convert to fraction form
    333,863/707,453 = 707,453/x
  3. Step 3: Cross multiply
    333,863x = 707,453 × 707,453
  4. Step 4: Simplify right side
    333,863x = 500,489,747,209
  5. Step 5: Solve for x
    x = 500,489,747,209/333,863
  6. Step 6: Final answer
    x = 1,499,087.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.