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Finding the Third Proportional to 698,506.88 and 1,068,062.63

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Solution

The third proportional to 698,506.88 and 1,068,062.63 is: 1,633,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,506.88 : 1,068,062.63 = 1,068,062.63 : x
  2. Step 2: Convert to fraction form
    698,506.88/1,068,062.63 = 1,068,062.63/x
  3. Step 3: Cross multiply
    698,506.88x = 1,068,062.63 × 1,068,062.63
  4. Step 4: Simplify right side
    698,506.88x = 1,140,757,770,921.89
  5. Step 5: Solve for x
    x = 1,140,757,770,921.89/698,506.88
  6. Step 6: Final answer
    x = 1,633,137.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.