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Finding the Third Proportional to 211,925 and 460,300

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Solution

The third proportional to 211,925 and 460,300 is: 999,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,925 : 460,300 = 460,300 : x
  2. Step 2: Convert to fraction form
    211,925/460,300 = 460,300/x
  3. Step 3: Cross multiply
    211,925x = 460,300 × 460,300
  4. Step 4: Simplify right side
    211,925x = 211,876,090,000
  5. Step 5: Solve for x
    x = 211,876,090,000/211,925
  6. Step 6: Final answer
    x = 999,769.21

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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.