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Finding the Third Proportional to 413,186.63 and 631,652.25

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Solution

The third proportional to 413,186.63 and 631,652.25 is: 965,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,186.63 : 631,652.25 = 631,652.25 : x
  2. Step 2: Convert to fraction form
    413,186.63/631,652.25 = 631,652.25/x
  3. Step 3: Cross multiply
    413,186.63x = 631,652.25 × 631,652.25
  4. Step 4: Simplify right side
    413,186.63x = 398,984,564,930.06
  5. Step 5: Solve for x
    x = 398,984,564,930.06/413,186.63
  6. Step 6: Final answer
    x = 965,627.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.