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Finding the Third Proportional to 292,324.50 and 631,278

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Solution

The third proportional to 292,324.50 and 631,278 is: 1,363,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,324.50 : 631,278 = 631,278 : x
  2. Step 2: Convert to fraction form
    292,324.50/631,278 = 631,278/x
  3. Step 3: Cross multiply
    292,324.50x = 631,278 × 631,278
  4. Step 4: Simplify right side
    292,324.50x = 398,511,913,284
  5. Step 5: Solve for x
    x = 398,511,913,284/292,324.50
  6. Step 6: Final answer
    x = 1,363,251.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.