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Finding the Third Proportional to 476,106 and 631,863

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Solution

The third proportional to 476,106 and 631,863 is: 838,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,106 : 631,863 = 631,863 : x
  2. Step 2: Convert to fraction form
    476,106/631,863 = 631,863/x
  3. Step 3: Cross multiply
    476,106x = 631,863 × 631,863
  4. Step 4: Simplify right side
    476,106x = 399,250,850,769
  5. Step 5: Solve for x
    x = 399,250,850,769/476,106
  6. Step 6: Final answer
    x = 838,575.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.