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Finding the Third Proportional to 292,894.50 and 634,632

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Solution

The third proportional to 292,894.50 and 634,632 is: 1,375,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,894.50 : 634,632 = 634,632 : x
  2. Step 2: Convert to fraction form
    292,894.50/634,632 = 634,632/x
  3. Step 3: Cross multiply
    292,894.50x = 634,632 × 634,632
  4. Step 4: Simplify right side
    292,894.50x = 402,757,775,424
  5. Step 5: Solve for x
    x = 402,757,775,424/292,894.50
  6. Step 6: Final answer
    x = 1,375,095.04

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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.