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Finding the Third Proportional to 412,065 and 883,265

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Solution

The third proportional to 412,065 and 883,265 is: 1,893,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,065 : 883,265 = 883,265 : x
  2. Step 2: Convert to fraction form
    412,065/883,265 = 883,265/x
  3. Step 3: Cross multiply
    412,065x = 883,265 × 883,265
  4. Step 4: Simplify right side
    412,065x = 780,157,060,225
  5. Step 5: Solve for x
    x = 780,157,060,225/412,065
  6. Step 6: Final answer
    x = 1,893,286.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.