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Finding the Third Proportional to 210,227 and 473,080

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Solution

The third proportional to 210,227 and 473,080 is: 1,064,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,227 : 473,080 = 473,080 : x
  2. Step 2: Convert to fraction form
    210,227/473,080 = 473,080/x
  3. Step 3: Cross multiply
    210,227x = 473,080 × 473,080
  4. Step 4: Simplify right side
    210,227x = 223,804,686,400
  5. Step 5: Solve for x
    x = 223,804,686,400/210,227
  6. Step 6: Final answer
    x = 1,064,585.84

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.