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Finding the Third Proportional to 275,036.63 and 437,637.38

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Solution

The third proportional to 275,036.63 and 437,637.38 is: 696,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,036.63 : 437,637.38 = 437,637.38 : x
  2. Step 2: Convert to fraction form
    275,036.63/437,637.38 = 437,637.38/x
  3. Step 3: Cross multiply
    275,036.63x = 437,637.38 × 437,637.38
  4. Step 4: Simplify right side
    275,036.63x = 191,526,471,996.89
  5. Step 5: Solve for x
    x = 191,526,471,996.89/275,036.63
  6. Step 6: Final answer
    x = 696,367.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.