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Finding the Third Proportional to 310,516.50 and 439,470

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Solution

The third proportional to 310,516.50 and 439,470 is: 621,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,516.50 : 439,470 = 439,470 : x
  2. Step 2: Convert to fraction form
    310,516.50/439,470 = 439,470/x
  3. Step 3: Cross multiply
    310,516.50x = 439,470 × 439,470
  4. Step 4: Simplify right side
    310,516.50x = 193,133,880,900
  5. Step 5: Solve for x
    x = 193,133,880,900/310,516.50
  6. Step 6: Final answer
    x = 621,976.23

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.