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Finding the Third Proportional to 631,446 and 962,928

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Solution

The third proportional to 631,446 and 962,928 is: 1,468,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,446 : 962,928 = 962,928 : x
  2. Step 2: Convert to fraction form
    631,446/962,928 = 962,928/x
  3. Step 3: Cross multiply
    631,446x = 962,928 × 962,928
  4. Step 4: Simplify right side
    631,446x = 927,230,333,184
  5. Step 5: Solve for x
    x = 927,230,333,184/631,446
  6. Step 6: Final answer
    x = 1,468,423.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.