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Finding the Third Proportional to 232,240 and 508,736

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Solution

The third proportional to 232,240 and 508,736 is: 1,114,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,240 : 508,736 = 508,736 : x
  2. Step 2: Convert to fraction form
    232,240/508,736 = 508,736/x
  3. Step 3: Cross multiply
    232,240x = 508,736 × 508,736
  4. Step 4: Simplify right side
    232,240x = 258,812,317,696
  5. Step 5: Solve for x
    x = 258,812,317,696/232,240
  6. Step 6: Final answer
    x = 1,114,417.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.