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Finding the Third Proportional to 450,031.50 and 633,025.50

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Solution

The third proportional to 450,031.50 and 633,025.50 is: 890,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,031.50 : 633,025.50 = 633,025.50 : x
  2. Step 2: Convert to fraction form
    450,031.50/633,025.50 = 633,025.50/x
  3. Step 3: Cross multiply
    450,031.50x = 633,025.50 × 633,025.50
  4. Step 4: Simplify right side
    450,031.50x = 400,721,283,650.25
  5. Step 5: Solve for x
    x = 400,721,283,650.25/450,031.50
  6. Step 6: Final answer
    x = 890,429.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.