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Finding the Third Proportional to 284,101.13 and 631,264.13

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Solution

The third proportional to 284,101.13 and 631,264.13 is: 1,402,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,101.13 : 631,264.13 = 631,264.13 : x
  2. Step 2: Convert to fraction form
    284,101.13/631,264.13 = 631,264.13/x
  3. Step 3: Cross multiply
    284,101.13x = 631,264.13 × 631,264.13
  4. Step 4: Simplify right side
    284,101.13x = 398,494,395,512.02
  5. Step 5: Solve for x
    x = 398,494,395,512.02/284,101.13
  6. Step 6: Final answer
    x = 1,402,649.83

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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.