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Finding the Third Proportional to 284,032 and 618,176

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Solution

The third proportional to 284,032 and 618,176 is: 1,345,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,032 : 618,176 = 618,176 : x
  2. Step 2: Convert to fraction form
    284,032/618,176 = 618,176/x
  3. Step 3: Cross multiply
    284,032x = 618,176 × 618,176
  4. Step 4: Simplify right side
    284,032x = 382,141,566,976
  5. Step 5: Solve for x
    x = 382,141,566,976/284,032
  6. Step 6: Final answer
    x = 1,345,417.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.