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Finding the Third Proportional to 233,144 and 508,430

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Solution

The third proportional to 233,144 and 508,430 is: 1,108,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,144 : 508,430 = 508,430 : x
  2. Step 2: Convert to fraction form
    233,144/508,430 = 508,430/x
  3. Step 3: Cross multiply
    233,144x = 508,430 × 508,430
  4. Step 4: Simplify right side
    233,144x = 258,501,064,900
  5. Step 5: Solve for x
    x = 258,501,064,900/233,144
  6. Step 6: Final answer
    x = 1,108,761.39

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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.