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Finding the Third Proportional to 210,672 and 460,760

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Solution

The third proportional to 210,672 and 460,760 is: 1,007,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,672 : 460,760 = 460,760 : x
  2. Step 2: Convert to fraction form
    210,672/460,760 = 460,760/x
  3. Step 3: Cross multiply
    210,672x = 460,760 × 460,760
  4. Step 4: Simplify right side
    210,672x = 212,299,777,600
  5. Step 5: Solve for x
    x = 212,299,777,600/210,672
  6. Step 6: Final answer
    x = 1,007,726.60

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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.