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Finding the Third Proportional to 316,006 and 684,476

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Solution

The third proportional to 316,006 and 684,476 is: 1,482,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,006 : 684,476 = 684,476 : x
  2. Step 2: Convert to fraction form
    316,006/684,476 = 684,476/x
  3. Step 3: Cross multiply
    316,006x = 684,476 × 684,476
  4. Step 4: Simplify right side
    316,006x = 468,507,394,576
  5. Step 5: Solve for x
    x = 468,507,394,576/316,006
  6. Step 6: Final answer
    x = 1,482,590.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.