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Finding the Third Proportional to 318,868 and 670,784

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Solution

The third proportional to 318,868 and 670,784 is: 1,411,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,868 : 670,784 = 670,784 : x
  2. Step 2: Convert to fraction form
    318,868/670,784 = 670,784/x
  3. Step 3: Cross multiply
    318,868x = 670,784 × 670,784
  4. Step 4: Simplify right side
    318,868x = 449,951,174,656
  5. Step 5: Solve for x
    x = 449,951,174,656/318,868
  6. Step 6: Final answer
    x = 1,411,089.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.