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Finding the Third Proportional to 578,503.63 and 1,245,906.88

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Solution

The third proportional to 578,503.63 and 1,245,906.88 is: 2,683,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,503.63 : 1,245,906.88 = 1,245,906.88 : x
  2. Step 2: Convert to fraction form
    578,503.63/1,245,906.88 = 1,245,906.88/x
  3. Step 3: Cross multiply
    578,503.63x = 1,245,906.88 × 1,245,906.88
  4. Step 4: Simplify right side
    578,503.63x = 1,552,283,941,172.27
  5. Step 5: Solve for x
    x = 1,552,283,941,172.27/578,503.63
  6. Step 6: Final answer
    x = 2,683,274.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.