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Finding the Third Proportional to 235,924 and 513,318

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Solution

The third proportional to 235,924 and 513,318 is: 1,116,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,924 : 513,318 = 513,318 : x
  2. Step 2: Convert to fraction form
    235,924/513,318 = 513,318/x
  3. Step 3: Cross multiply
    235,924x = 513,318 × 513,318
  4. Step 4: Simplify right side
    235,924x = 263,495,369,124
  5. Step 5: Solve for x
    x = 263,495,369,124/235,924
  6. Step 6: Final answer
    x = 1,116,865.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.