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Finding the Third Proportional to 596,300.63 and 949,768.88

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Solution

The third proportional to 596,300.63 and 949,768.88 is: 1,512,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,300.63 : 949,768.88 = 949,768.88 : x
  2. Step 2: Convert to fraction form
    596,300.63/949,768.88 = 949,768.88/x
  3. Step 3: Cross multiply
    596,300.63x = 949,768.88 × 949,768.88
  4. Step 4: Simplify right side
    596,300.63x = 902,060,915,918.77
  5. Step 5: Solve for x
    x = 902,060,915,918.77/596,300.63
  6. Step 6: Final answer
    x = 1,512,761.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.