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Finding the Third Proportional to 276,710.50 and 423,095

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Solution

The third proportional to 276,710.50 and 423,095 is: 646,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,710.50 : 423,095 = 423,095 : x
  2. Step 2: Convert to fraction form
    276,710.50/423,095 = 423,095/x
  3. Step 3: Cross multiply
    276,710.50x = 423,095 × 423,095
  4. Step 4: Simplify right side
    276,710.50x = 179,009,379,025
  5. Step 5: Solve for x
    x = 179,009,379,025/276,710.50
  6. Step 6: Final answer
    x = 646,919.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.