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Finding the Third Proportional to 466,542 and 962,527.50

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Solution

The third proportional to 466,542 and 962,527.50 is: 1,985,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,542 : 962,527.50 = 962,527.50 : x
  2. Step 2: Convert to fraction form
    466,542/962,527.50 = 962,527.50/x
  3. Step 3: Cross multiply
    466,542x = 962,527.50 × 962,527.50
  4. Step 4: Simplify right side
    466,542x = 926,459,188,256.25
  5. Step 5: Solve for x
    x = 926,459,188,256.25/466,542
  6. Step 6: Final answer
    x = 1,985,800.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.