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Finding the Third Proportional to 412,796 and 631,020

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Solution

The third proportional to 412,796 and 631,020 is: 964,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,796 : 631,020 = 631,020 : x
  2. Step 2: Convert to fraction form
    412,796/631,020 = 631,020/x
  3. Step 3: Cross multiply
    412,796x = 631,020 × 631,020
  4. Step 4: Simplify right side
    412,796x = 398,186,240,400
  5. Step 5: Solve for x
    x = 398,186,240,400/412,796
  6. Step 6: Final answer
    x = 964,607.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.