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Finding the Third Proportional to 218,347 and 477,426

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Solution

The third proportional to 218,347 and 477,426 is: 1,043,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,347 : 477,426 = 477,426 : x
  2. Step 2: Convert to fraction form
    218,347/477,426 = 477,426/x
  3. Step 3: Cross multiply
    218,347x = 477,426 × 477,426
  4. Step 4: Simplify right side
    218,347x = 227,935,585,476
  5. Step 5: Solve for x
    x = 227,935,585,476/218,347
  6. Step 6: Final answer
    x = 1,043,914.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.