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Finding the Third Proportional to 560,412 and 770,634

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Solution

The third proportional to 560,412 and 770,634 is: 1,059,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,412 : 770,634 = 770,634 : x
  2. Step 2: Convert to fraction form
    560,412/770,634 = 770,634/x
  3. Step 3: Cross multiply
    560,412x = 770,634 × 770,634
  4. Step 4: Simplify right side
    560,412x = 593,876,761,956
  5. Step 5: Solve for x
    x = 593,876,761,956/560,412
  6. Step 6: Final answer
    x = 1,059,714.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.