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Finding the Third Proportional to 430,519.50 and 938,541.38

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Solution

The third proportional to 430,519.50 and 938,541.38 is: 2,046,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,519.50 : 938,541.38 = 938,541.38 : x
  2. Step 2: Convert to fraction form
    430,519.50/938,541.38 = 938,541.38/x
  3. Step 3: Cross multiply
    430,519.50x = 938,541.38 × 938,541.38
  4. Step 4: Simplify right side
    430,519.50x = 880,859,912,586.89
  5. Step 5: Solve for x
    x = 880,859,912,586.89/430,519.50
  6. Step 6: Final answer
    x = 2,046,039.52

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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.