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Finding the Third Proportional to 227,964 and 497,880

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Solution

The third proportional to 227,964 and 497,880 is: 1,087,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,964 : 497,880 = 497,880 : x
  2. Step 2: Convert to fraction form
    227,964/497,880 = 497,880/x
  3. Step 3: Cross multiply
    227,964x = 497,880 × 497,880
  4. Step 4: Simplify right side
    227,964x = 247,884,494,400
  5. Step 5: Solve for x
    x = 247,884,494,400/227,964
  6. Step 6: Final answer
    x = 1,087,384.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.