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Finding the Third Proportional to 233,252 and 508,710

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Solution

The third proportional to 233,252 and 508,710 is: 1,109,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,252 : 508,710 = 508,710 : x
  2. Step 2: Convert to fraction form
    233,252/508,710 = 508,710/x
  3. Step 3: Cross multiply
    233,252x = 508,710 × 508,710
  4. Step 4: Simplify right side
    233,252x = 258,785,864,100
  5. Step 5: Solve for x
    x = 258,785,864,100/233,252
  6. Step 6: Final answer
    x = 1,109,469.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.