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Finding the Third Proportional to 235,336 and 509,984

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Solution

The third proportional to 235,336 and 509,984 is: 1,105,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,336 : 509,984 = 509,984 : x
  2. Step 2: Convert to fraction form
    235,336/509,984 = 509,984/x
  3. Step 3: Cross multiply
    235,336x = 509,984 × 509,984
  4. Step 4: Simplify right side
    235,336x = 260,083,680,256
  5. Step 5: Solve for x
    x = 260,083,680,256/235,336
  6. Step 6: Final answer
    x = 1,105,158.92

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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.