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Finding the Third Proportional to 520,631.25 and 786,495

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Solution

The third proportional to 520,631.25 and 786,495 is: 1,188,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,631.25 : 786,495 = 786,495 : x
  2. Step 2: Convert to fraction form
    520,631.25/786,495 = 786,495/x
  3. Step 3: Cross multiply
    520,631.25x = 786,495 × 786,495
  4. Step 4: Simplify right side
    520,631.25x = 618,574,385,025
  5. Step 5: Solve for x
    x = 618,574,385,025/520,631.25
  6. Step 6: Final answer
    x = 1,188,123.81

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