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Finding the Third Proportional to 457,003 and 990,278

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Solution

The third proportional to 457,003 and 990,278 is: 2,145,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,003 : 990,278 = 990,278 : x
  2. Step 2: Convert to fraction form
    457,003/990,278 = 990,278/x
  3. Step 3: Cross multiply
    457,003x = 990,278 × 990,278
  4. Step 4: Simplify right side
    457,003x = 980,650,517,284
  5. Step 5: Solve for x
    x = 980,650,517,284/457,003
  6. Step 6: Final answer
    x = 2,145,829.50

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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.