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Finding the Third Proportional to 310,862.25 and 494,318.25

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Solution

The third proportional to 310,862.25 and 494,318.25 is: 786,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,862.25 : 494,318.25 = 494,318.25 : x
  2. Step 2: Convert to fraction form
    310,862.25/494,318.25 = 494,318.25/x
  3. Step 3: Cross multiply
    310,862.25x = 494,318.25 × 494,318.25
  4. Step 4: Simplify right side
    310,862.25x = 244,350,532,283.06
  5. Step 5: Solve for x
    x = 244,350,532,283.06/310,862.25
  6. Step 6: Final answer
    x = 786,041.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.