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Finding the Third Proportional to 310,982 and 495,075

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Solution

The third proportional to 310,982 and 495,075 is: 788,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,982 : 495,075 = 495,075 : x
  2. Step 2: Convert to fraction form
    310,982/495,075 = 495,075/x
  3. Step 3: Cross multiply
    310,982x = 495,075 × 495,075
  4. Step 4: Simplify right side
    310,982x = 245,099,255,625
  5. Step 5: Solve for x
    x = 245,099,255,625/310,982
  6. Step 6: Final answer
    x = 788,146.12

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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.