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Finding the Third Proportional to 440,133.75 and 697,106.25

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Solution

The third proportional to 440,133.75 and 697,106.25 is: 1,104,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,133.75 : 697,106.25 = 697,106.25 : x
  2. Step 2: Convert to fraction form
    440,133.75/697,106.25 = 697,106.25/x
  3. Step 3: Cross multiply
    440,133.75x = 697,106.25 × 697,106.25
  4. Step 4: Simplify right side
    440,133.75x = 485,957,123,789.06
  5. Step 5: Solve for x
    x = 485,957,123,789.06/440,133.75
  6. Step 6: Final answer
    x = 1,104,112.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.