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Finding the Third Proportional to 659,378.25 and 1,027,590

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Solution

The third proportional to 659,378.25 and 1,027,590 is: 1,601,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,378.25 : 1,027,590 = 1,027,590 : x
  2. Step 2: Convert to fraction form
    659,378.25/1,027,590 = 1,027,590/x
  3. Step 3: Cross multiply
    659,378.25x = 1,027,590 × 1,027,590
  4. Step 4: Simplify right side
    659,378.25x = 1,055,941,208,100
  5. Step 5: Solve for x
    x = 1,055,941,208,100/659,378.25
  6. Step 6: Final answer
    x = 1,601,419.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.