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Finding the Third Proportional to 210,370 and 459,290

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Solution

The third proportional to 210,370 and 459,290 is: 1,002,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,370 : 459,290 = 459,290 : x
  2. Step 2: Convert to fraction form
    210,370/459,290 = 459,290/x
  3. Step 3: Cross multiply
    210,370x = 459,290 × 459,290
  4. Step 4: Simplify right side
    210,370x = 210,947,304,100
  5. Step 5: Solve for x
    x = 210,947,304,100/210,370
  6. Step 6: Final answer
    x = 1,002,744.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.