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Finding the Third Proportional to 651,280.50 and 983,725.50

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Solution

The third proportional to 651,280.50 and 983,725.50 is: 1,485,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,280.50 : 983,725.50 = 983,725.50 : x
  2. Step 2: Convert to fraction form
    651,280.50/983,725.50 = 983,725.50/x
  3. Step 3: Cross multiply
    651,280.50x = 983,725.50 × 983,725.50
  4. Step 4: Simplify right side
    651,280.50x = 967,715,859,350.25
  5. Step 5: Solve for x
    x = 967,715,859,350.25/651,280.50
  6. Step 6: Final answer
    x = 1,485,866.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.