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Finding the Third Proportional to 288,010 and 639,947

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Solution

The third proportional to 288,010 and 639,947 is: 1,421,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,010 : 639,947 = 639,947 : x
  2. Step 2: Convert to fraction form
    288,010/639,947 = 639,947/x
  3. Step 3: Cross multiply
    288,010x = 639,947 × 639,947
  4. Step 4: Simplify right side
    288,010x = 409,532,162,809
  5. Step 5: Solve for x
    x = 409,532,162,809/288,010
  6. Step 6: Final answer
    x = 1,421,937.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.