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Finding the Third Proportional to 360,263.25 and 773,948.63

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Solution

The third proportional to 360,263.25 and 773,948.63 is: 1,662,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,263.25 : 773,948.63 = 773,948.63 : x
  2. Step 2: Convert to fraction form
    360,263.25/773,948.63 = 773,948.63/x
  3. Step 3: Cross multiply
    360,263.25x = 773,948.63 × 773,948.63
  4. Step 4: Simplify right side
    360,263.25x = 598,996,474,139.39
  5. Step 5: Solve for x
    x = 598,996,474,139.39/360,263.25
  6. Step 6: Final answer
    x = 1,662,663.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.