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Finding the Third Proportional to 235,431 and 503,180

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Solution

The third proportional to 235,431 and 503,180 is: 1,075,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,431 : 503,180 = 503,180 : x
  2. Step 2: Convert to fraction form
    235,431/503,180 = 503,180/x
  3. Step 3: Cross multiply
    235,431x = 503,180 × 503,180
  4. Step 4: Simplify right side
    235,431x = 253,190,112,400
  5. Step 5: Solve for x
    x = 253,190,112,400/235,431
  6. Step 6: Final answer
    x = 1,075,432.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.