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Finding the Third Proportional to 321,858.63 and 486,929.63

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Solution

The third proportional to 321,858.63 and 486,929.63 is: 736,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,858.63 : 486,929.63 = 486,929.63 : x
  2. Step 2: Convert to fraction form
    321,858.63/486,929.63 = 486,929.63/x
  3. Step 3: Cross multiply
    321,858.63x = 486,929.63 × 486,929.63
  4. Step 4: Simplify right side
    321,858.63x = 237,100,459,702.64
  5. Step 5: Solve for x
    x = 237,100,459,702.64/321,858.63
  6. Step 6: Final answer
    x = 736,660.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.