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Finding the Third Proportional to 235,368 and 509,376

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Solution

The third proportional to 235,368 and 509,376 is: 1,102,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,368 : 509,376 = 509,376 : x
  2. Step 2: Convert to fraction form
    235,368/509,376 = 509,376/x
  3. Step 3: Cross multiply
    235,368x = 509,376 × 509,376
  4. Step 4: Simplify right side
    235,368x = 259,463,909,376
  5. Step 5: Solve for x
    x = 259,463,909,376/235,368
  6. Step 6: Final answer
    x = 1,102,375.47

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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.