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Finding the Third Proportional to 235,252 and 508,088

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Solution

The third proportional to 235,252 and 508,088 is: 1,097,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,252 : 508,088 = 508,088 : x
  2. Step 2: Convert to fraction form
    235,252/508,088 = 508,088/x
  3. Step 3: Cross multiply
    235,252x = 508,088 × 508,088
  4. Step 4: Simplify right side
    235,252x = 258,153,415,744
  5. Step 5: Solve for x
    x = 258,153,415,744/235,252
  6. Step 6: Final answer
    x = 1,097,348.44

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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.