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Finding the Third Proportional to 520,083.50 and 776,693

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Solution

The third proportional to 520,083.50 and 776,693 is: 1,159,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.50 : 776,693 = 776,693 : x
  2. Step 2: Convert to fraction form
    520,083.50/776,693 = 776,693/x
  3. Step 3: Cross multiply
    520,083.50x = 776,693 × 776,693
  4. Step 4: Simplify right side
    520,083.50x = 603,252,016,249
  5. Step 5: Solve for x
    x = 603,252,016,249/520,083.50
  6. Step 6: Final answer
    x = 1,159,913.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.