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Finding the Third Proportional to 437,088 and 960,888

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Solution

The third proportional to 437,088 and 960,888 is: 2,112,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,088 : 960,888 = 960,888 : x
  2. Step 2: Convert to fraction form
    437,088/960,888 = 960,888/x
  3. Step 3: Cross multiply
    437,088x = 960,888 × 960,888
  4. Step 4: Simplify right side
    437,088x = 923,305,748,544
  5. Step 5: Solve for x
    x = 923,305,748,544/437,088
  6. Step 6: Final answer
    x = 2,112,402.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.