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Finding the Third Proportional to 284,824 and 614,682

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Solution

The third proportional to 284,824 and 614,682 is: 1,326,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,824 : 614,682 = 614,682 : x
  2. Step 2: Convert to fraction form
    284,824/614,682 = 614,682/x
  3. Step 3: Cross multiply
    284,824x = 614,682 × 614,682
  4. Step 4: Simplify right side
    284,824x = 377,833,961,124
  5. Step 5: Solve for x
    x = 377,833,961,124/284,824
  6. Step 6: Final answer
    x = 1,326,552.40

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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.