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Finding the Third Proportional to 292,512 and 634,608

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Solution

The third proportional to 292,512 and 634,608 is: 1,376,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,512 : 634,608 = 634,608 : x
  2. Step 2: Convert to fraction form
    292,512/634,608 = 634,608/x
  3. Step 3: Cross multiply
    292,512x = 634,608 × 634,608
  4. Step 4: Simplify right side
    292,512x = 402,727,313,664
  5. Step 5: Solve for x
    x = 402,727,313,664/292,512
  6. Step 6: Final answer
    x = 1,376,789.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.