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Finding the Third Proportional to 632,308 and 964,220

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Solution

The third proportional to 632,308 and 964,220 is: 1,470,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,308 : 964,220 = 964,220 : x
  2. Step 2: Convert to fraction form
    632,308/964,220 = 964,220/x
  3. Step 3: Cross multiply
    632,308x = 964,220 × 964,220
  4. Step 4: Simplify right side
    632,308x = 929,720,208,400
  5. Step 5: Solve for x
    x = 929,720,208,400/632,308
  6. Step 6: Final answer
    x = 1,470,359.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.