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Finding the Third Proportional to 235,964 and 509,464

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Solution

The third proportional to 235,964 and 509,464 is: 1,099,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,964 : 509,464 = 509,464 : x
  2. Step 2: Convert to fraction form
    235,964/509,464 = 509,464/x
  3. Step 3: Cross multiply
    235,964x = 509,464 × 509,464
  4. Step 4: Simplify right side
    235,964x = 259,553,567,296
  5. Step 5: Solve for x
    x = 259,553,567,296/235,964
  6. Step 6: Final answer
    x = 1,099,971.04

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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.