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Finding the Third Proportional to 218,336 and 473,536

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Solution

The third proportional to 218,336 and 473,536 is: 1,027,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,336 : 473,536 = 473,536 : x
  2. Step 2: Convert to fraction form
    218,336/473,536 = 473,536/x
  3. Step 3: Cross multiply
    218,336x = 473,536 × 473,536
  4. Step 4: Simplify right side
    218,336x = 224,236,343,296
  5. Step 5: Solve for x
    x = 224,236,343,296/218,336
  6. Step 6: Final answer
    x = 1,027,024.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.