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Finding the Third Proportional to 232,270 and 508,808

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Solution

The third proportional to 232,270 and 508,808 is: 1,114,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,270 : 508,808 = 508,808 : x
  2. Step 2: Convert to fraction form
    232,270/508,808 = 508,808/x
  3. Step 3: Cross multiply
    232,270x = 508,808 × 508,808
  4. Step 4: Simplify right side
    232,270x = 258,885,580,864
  5. Step 5: Solve for x
    x = 258,885,580,864/232,270
  6. Step 6: Final answer
    x = 1,114,588.97

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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.