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Finding the Third Proportional to 232,320 and 508,904

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Solution

The third proportional to 232,320 and 508,904 is: 1,114,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,320 : 508,904 = 508,904 : x
  2. Step 2: Convert to fraction form
    232,320/508,904 = 508,904/x
  3. Step 3: Cross multiply
    232,320x = 508,904 × 508,904
  4. Step 4: Simplify right side
    232,320x = 258,983,281,216
  5. Step 5: Solve for x
    x = 258,983,281,216/232,320
  6. Step 6: Final answer
    x = 1,114,769.63

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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.