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Finding the Third Proportional to 210,229 and 473,085

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Solution

The third proportional to 210,229 and 473,085 is: 1,064,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,229 : 473,085 = 473,085 : x
  2. Step 2: Convert to fraction form
    210,229/473,085 = 473,085/x
  3. Step 3: Cross multiply
    210,229x = 473,085 × 473,085
  4. Step 4: Simplify right side
    210,229x = 223,809,417,225
  5. Step 5: Solve for x
    x = 223,809,417,225/210,229
  6. Step 6: Final answer
    x = 1,064,598.21

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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.