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Finding the Third Proportional to 284,649 and 616,050

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Solution

The third proportional to 284,649 and 616,050 is: 1,333,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,649 : 616,050 = 616,050 : x
  2. Step 2: Convert to fraction form
    284,649/616,050 = 616,050/x
  3. Step 3: Cross multiply
    284,649x = 616,050 × 616,050
  4. Step 4: Simplify right side
    284,649x = 379,517,602,500
  5. Step 5: Solve for x
    x = 379,517,602,500/284,649
  6. Step 6: Final answer
    x = 1,333,282.75

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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.