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Finding the Third Proportional to 210,228 and 473,082

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Solution

The third proportional to 210,228 and 473,082 is: 1,064,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,228 : 473,082 = 473,082 : x
  2. Step 2: Convert to fraction form
    210,228/473,082 = 473,082/x
  3. Step 3: Cross multiply
    210,228x = 473,082 × 473,082
  4. Step 4: Simplify right side
    210,228x = 223,806,578,724
  5. Step 5: Solve for x
    x = 223,806,578,724/210,228
  6. Step 6: Final answer
    x = 1,064,589.77

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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.