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Finding the Third Proportional to 235,368 and 510,048

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Solution

The third proportional to 235,368 and 510,048 is: 1,105,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,368 : 510,048 = 510,048 : x
  2. Step 2: Convert to fraction form
    235,368/510,048 = 510,048/x
  3. Step 3: Cross multiply
    235,368x = 510,048 × 510,048
  4. Step 4: Simplify right side
    235,368x = 260,148,962,304
  5. Step 5: Solve for x
    x = 260,148,962,304/235,368
  6. Step 6: Final answer
    x = 1,105,286.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.