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Finding the Third Proportional to 539,416 and 777,012

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Solution

The third proportional to 539,416 and 777,012 is: 1,119,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,416 : 777,012 = 777,012 : x
  2. Step 2: Convert to fraction form
    539,416/777,012 = 777,012/x
  3. Step 3: Cross multiply
    539,416x = 777,012 × 777,012
  4. Step 4: Simplify right side
    539,416x = 603,747,648,144
  5. Step 5: Solve for x
    x = 603,747,648,144/539,416
  6. Step 6: Final answer
    x = 1,119,261.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.