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Finding the Third Proportional to 632,337 and 964,323

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Solution

The third proportional to 632,337 and 964,323 is: 1,470,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,337 : 964,323 = 964,323 : x
  2. Step 2: Convert to fraction form
    632,337/964,323 = 964,323/x
  3. Step 3: Cross multiply
    632,337x = 964,323 × 964,323
  4. Step 4: Simplify right side
    632,337x = 929,918,848,329
  5. Step 5: Solve for x
    x = 929,918,848,329/632,337
  6. Step 6: Final answer
    x = 1,470,606.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.