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Finding the Third Proportional to 235,464 and 509,780

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Solution

The third proportional to 235,464 and 509,780 is: 1,103,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,464 : 509,780 = 509,780 : x
  2. Step 2: Convert to fraction form
    235,464/509,780 = 509,780/x
  3. Step 3: Cross multiply
    235,464x = 509,780 × 509,780
  4. Step 4: Simplify right side
    235,464x = 259,875,648,400
  5. Step 5: Solve for x
    x = 259,875,648,400/235,464
  6. Step 6: Final answer
    x = 1,103,674.65

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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.