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Finding the Third Proportional to 632,346 and 964,336

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Solution

The third proportional to 632,346 and 964,336 is: 1,470,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,346 : 964,336 = 964,336 : x
  2. Step 2: Convert to fraction form
    632,346/964,336 = 964,336/x
  3. Step 3: Cross multiply
    632,346x = 964,336 × 964,336
  4. Step 4: Simplify right side
    632,346x = 929,943,920,896
  5. Step 5: Solve for x
    x = 929,943,920,896/632,346
  6. Step 6: Final answer
    x = 1,470,625.13

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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.