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Finding the Third Proportional to 409,008 and 883,352

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Solution

The third proportional to 409,008 and 883,352 is: 1,907,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,008 : 883,352 = 883,352 : x
  2. Step 2: Convert to fraction form
    409,008/883,352 = 883,352/x
  3. Step 3: Cross multiply
    409,008x = 883,352 × 883,352
  4. Step 4: Simplify right side
    409,008x = 780,310,755,904
  5. Step 5: Solve for x
    x = 780,310,755,904/409,008
  6. Step 6: Final answer
    x = 1,907,812.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.