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Finding the Third Proportional to 236,748 and 508,632

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Solution

The third proportional to 236,748 and 508,632 is: 1,092,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,748 : 508,632 = 508,632 : x
  2. Step 2: Convert to fraction form
    236,748/508,632 = 508,632/x
  3. Step 3: Cross multiply
    236,748x = 508,632 × 508,632
  4. Step 4: Simplify right side
    236,748x = 258,706,511,424
  5. Step 5: Solve for x
    x = 258,706,511,424/236,748
  6. Step 6: Final answer
    x = 1,092,750.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.