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Finding the Third Proportional to 289,771.31 and 631,024.31

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Solution

The third proportional to 289,771.31 and 631,024.31 is: 1,374,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,771.31 : 631,024.31 = 631,024.31 : x
  2. Step 2: Convert to fraction form
    289,771.31/631,024.31 = 631,024.31/x
  3. Step 3: Cross multiply
    289,771.31x = 631,024.31 × 631,024.31
  4. Step 4: Simplify right side
    289,771.31x = 398,191,682,966.10
  5. Step 5: Solve for x
    x = 398,191,682,966.10/289,771.31
  6. Step 6: Final answer
    x = 1,374,158.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.