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Finding the Third Proportional to 235,700 and 509,048

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Solution

The third proportional to 235,700 and 509,048 is: 1,099,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,700 : 509,048 = 509,048 : x
  2. Step 2: Convert to fraction form
    235,700/509,048 = 509,048/x
  3. Step 3: Cross multiply
    235,700x = 509,048 × 509,048
  4. Step 4: Simplify right side
    235,700x = 259,129,866,304
  5. Step 5: Solve for x
    x = 259,129,866,304/235,700
  6. Step 6: Final answer
    x = 1,099,405.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.