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Finding the Third Proportional to 305,442 and 631,836

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Solution

The third proportional to 305,442 and 631,836 is: 1,307,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,442 : 631,836 = 631,836 : x
  2. Step 2: Convert to fraction form
    305,442/631,836 = 631,836/x
  3. Step 3: Cross multiply
    305,442x = 631,836 × 631,836
  4. Step 4: Simplify right side
    305,442x = 399,216,730,896
  5. Step 5: Solve for x
    x = 399,216,730,896/305,442
  6. Step 6: Final answer
    x = 1,307,013.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.