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Finding the Third Proportional to 658,411.50 and 962,527.50

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Solution

The third proportional to 658,411.50 and 962,527.50 is: 1,407,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,411.50 : 962,527.50 = 962,527.50 : x
  2. Step 2: Convert to fraction form
    658,411.50/962,527.50 = 962,527.50/x
  3. Step 3: Cross multiply
    658,411.50x = 962,527.50 × 962,527.50
  4. Step 4: Simplify right side
    658,411.50x = 926,459,188,256.25
  5. Step 5: Solve for x
    x = 926,459,188,256.25/658,411.50
  6. Step 6: Final answer
    x = 1,407,112.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.