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Finding the Third Proportional to 235,424 and 510,003

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Solution

The third proportional to 235,424 and 510,003 is: 1,104,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,424 : 510,003 = 510,003 : x
  2. Step 2: Convert to fraction form
    235,424/510,003 = 510,003/x
  3. Step 3: Cross multiply
    235,424x = 510,003 × 510,003
  4. Step 4: Simplify right side
    235,424x = 260,103,060,009
  5. Step 5: Solve for x
    x = 260,103,060,009/235,424
  6. Step 6: Final answer
    x = 1,104,828.14

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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.