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Finding the Third Proportional to 334,353.50 and 651,963.50

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Solution

The third proportional to 334,353.50 and 651,963.50 is: 1,271,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,353.50 : 651,963.50 = 651,963.50 : x
  2. Step 2: Convert to fraction form
    334,353.50/651,963.50 = 651,963.50/x
  3. Step 3: Cross multiply
    334,353.50x = 651,963.50 × 651,963.50
  4. Step 4: Simplify right side
    334,353.50x = 425,056,405,332.25
  5. Step 5: Solve for x
    x = 425,056,405,332.25/334,353.50
  6. Step 6: Final answer
    x = 1,271,278.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.