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Finding the Third Proportional to 437,562 and 960,658

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Solution

The third proportional to 437,562 and 960,658 is: 2,109,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,562 : 960,658 = 960,658 : x
  2. Step 2: Convert to fraction form
    437,562/960,658 = 960,658/x
  3. Step 3: Cross multiply
    437,562x = 960,658 × 960,658
  4. Step 4: Simplify right side
    437,562x = 922,863,792,964
  5. Step 5: Solve for x
    x = 922,863,792,964/437,562
  6. Step 6: Final answer
    x = 2,109,104.07

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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.