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Finding the Third Proportional to 630,182.25 and 945,733.50

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Solution

The third proportional to 630,182.25 and 945,733.50 is: 1,419,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,182.25 : 945,733.50 = 945,733.50 : x
  2. Step 2: Convert to fraction form
    630,182.25/945,733.50 = 945,733.50/x
  3. Step 3: Cross multiply
    630,182.25x = 945,733.50 × 945,733.50
  4. Step 4: Simplify right side
    630,182.25x = 894,411,853,022.25
  5. Step 5: Solve for x
    x = 894,411,853,022.25/630,182.25
  6. Step 6: Final answer
    x = 1,419,290.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.