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Finding the Third Proportional to 235,422 and 509,998.50

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Solution

The third proportional to 235,422 and 509,998.50 is: 1,104,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,422 : 509,998.50 = 509,998.50 : x
  2. Step 2: Convert to fraction form
    235,422/509,998.50 = 509,998.50/x
  3. Step 3: Cross multiply
    235,422x = 509,998.50 × 509,998.50
  4. Step 4: Simplify right side
    235,422x = 260,098,470,002.25
  5. Step 5: Solve for x
    x = 260,098,470,002.25/235,422
  6. Step 6: Final answer
    x = 1,104,818.03

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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.