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Finding the Third Proportional to 360,263.63 and 773,949

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Solution

The third proportional to 360,263.63 and 773,949 is: 1,662,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,263.63 : 773,949 = 773,949 : x
  2. Step 2: Convert to fraction form
    360,263.63/773,949 = 773,949/x
  3. Step 3: Cross multiply
    360,263.63x = 773,949 × 773,949
  4. Step 4: Simplify right side
    360,263.63x = 598,997,054,601
  5. Step 5: Solve for x
    x = 598,997,054,601/360,263.63
  6. Step 6: Final answer
    x = 1,662,663.15

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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.