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Finding the Third Proportional to 284,102 and 631,264

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Solution

The third proportional to 284,102 and 631,264 is: 1,402,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,102 : 631,264 = 631,264 : x
  2. Step 2: Convert to fraction form
    284,102/631,264 = 631,264/x
  3. Step 3: Cross multiply
    284,102x = 631,264 × 631,264
  4. Step 4: Simplify right side
    284,102x = 398,494,237,696
  5. Step 5: Solve for x
    x = 398,494,237,696/284,102
  6. Step 6: Final answer
    x = 1,402,644.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.