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Finding the Third Proportional to 210,000 and 460,827

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Solution

The third proportional to 210,000 and 460,827 is: 1,011,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,000 : 460,827 = 460,827 : x
  2. Step 2: Convert to fraction form
    210,000/460,827 = 460,827/x
  3. Step 3: Cross multiply
    210,000x = 460,827 × 460,827
  4. Step 4: Simplify right side
    210,000x = 212,361,523,929
  5. Step 5: Solve for x
    x = 212,361,523,929/210,000
  6. Step 6: Final answer
    x = 1,011,245.35

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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.