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Finding the Third Proportional to 519,771 and 777,537

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Solution

The third proportional to 519,771 and 777,537 is: 1,163,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,771 : 777,537 = 777,537 : x
  2. Step 2: Convert to fraction form
    519,771/777,537 = 777,537/x
  3. Step 3: Cross multiply
    519,771x = 777,537 × 777,537
  4. Step 4: Simplify right side
    519,771x = 604,563,786,369
  5. Step 5: Solve for x
    x = 604,563,786,369/519,771
  6. Step 6: Final answer
    x = 1,163,134.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.