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Finding the Third Proportional to 430,597.25 and 1,005,749.75

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Solution

The third proportional to 430,597.25 and 1,005,749.75 is: 2,349,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,597.25 : 1,005,749.75 = 1,005,749.75 : x
  2. Step 2: Convert to fraction form
    430,597.25/1,005,749.75 = 1,005,749.75/x
  3. Step 3: Cross multiply
    430,597.25x = 1,005,749.75 × 1,005,749.75
  4. Step 4: Simplify right side
    430,597.25x = 1,011,532,559,625.06
  5. Step 5: Solve for x
    x = 1,011,532,559,625.06/430,597.25
  6. Step 6: Final answer
    x = 2,349,138.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.