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Finding the Third Proportional to 515,984 and 777,000

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Solution

The third proportional to 515,984 and 777,000 is: 1,170,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,984 : 777,000 = 777,000 : x
  2. Step 2: Convert to fraction form
    515,984/777,000 = 777,000/x
  3. Step 3: Cross multiply
    515,984x = 777,000 × 777,000
  4. Step 4: Simplify right side
    515,984x = 603,729,000,000
  5. Step 5: Solve for x
    x = 603,729,000,000/515,984
  6. Step 6: Final answer
    x = 1,170,053.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.