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Finding the Third Proportional to 408,772 and 893,576

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Solution

The third proportional to 408,772 and 893,576 is: 1,953,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,772 : 893,576 = 893,576 : x
  2. Step 2: Convert to fraction form
    408,772/893,576 = 893,576/x
  3. Step 3: Cross multiply
    408,772x = 893,576 × 893,576
  4. Step 4: Simplify right side
    408,772x = 798,478,067,776
  5. Step 5: Solve for x
    x = 798,478,067,776/408,772
  6. Step 6: Final answer
    x = 1,953,358.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.