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Finding the Third Proportional to 332,555.63 and 688,753.13

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Solution

The third proportional to 332,555.63 and 688,753.13 is: 1,426,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,555.63 : 688,753.13 = 688,753.13 : x
  2. Step 2: Convert to fraction form
    332,555.63/688,753.13 = 688,753.13/x
  3. Step 3: Cross multiply
    332,555.63x = 688,753.13 × 688,753.13
  4. Step 4: Simplify right side
    332,555.63x = 474,380,867,197.27
  5. Step 5: Solve for x
    x = 474,380,867,197.27/332,555.63
  6. Step 6: Final answer
    x = 1,426,470.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.