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Finding the Third Proportional to 284,824 and 614,680

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Solution

The third proportional to 284,824 and 614,680 is: 1,326,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,824 : 614,680 = 614,680 : x
  2. Step 2: Convert to fraction form
    284,824/614,680 = 614,680/x
  3. Step 3: Cross multiply
    284,824x = 614,680 × 614,680
  4. Step 4: Simplify right side
    284,824x = 377,831,502,400
  5. Step 5: Solve for x
    x = 377,831,502,400/284,824
  6. Step 6: Final answer
    x = 1,326,543.77

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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.