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Finding the Third Proportional to 520,084.50 and 776,694.75

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Solution

The third proportional to 520,084.50 and 776,694.75 is: 1,159,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,084.50 : 776,694.75 = 776,694.75 : x
  2. Step 2: Convert to fraction form
    520,084.50/776,694.75 = 776,694.75/x
  3. Step 3: Cross multiply
    520,084.50x = 776,694.75 × 776,694.75
  4. Step 4: Simplify right side
    520,084.50x = 603,254,734,677.56
  5. Step 5: Solve for x
    x = 603,254,734,677.56/520,084.50
  6. Step 6: Final answer
    x = 1,159,916.77

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Why These Related Problems?

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