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Finding the Third Proportional to 658,824 and 963,108

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Solution

The third proportional to 658,824 and 963,108 is: 1,407,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,824 : 963,108 = 963,108 : x
  2. Step 2: Convert to fraction form
    658,824/963,108 = 963,108/x
  3. Step 3: Cross multiply
    658,824x = 963,108 × 963,108
  4. Step 4: Simplify right side
    658,824x = 927,577,019,664
  5. Step 5: Solve for x
    x = 927,577,019,664/658,824
  6. Step 6: Final answer
    x = 1,407,928.40

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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.