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Finding the Third Proportional to 680,963.63 and 954,352.13

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Solution

The third proportional to 680,963.63 and 954,352.13 is: 1,337,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,963.63 : 954,352.13 = 954,352.13 : x
  2. Step 2: Convert to fraction form
    680,963.63/954,352.13 = 954,352.13/x
  3. Step 3: Cross multiply
    680,963.63x = 954,352.13 × 954,352.13
  4. Step 4: Simplify right side
    680,963.63x = 910,787,978,492.02
  5. Step 5: Solve for x
    x = 910,787,978,492.02/680,963.63
  6. Step 6: Final answer
    x = 1,337,498.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.