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Finding the Third Proportional to 343,323 and 747,649.50

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Solution

The third proportional to 343,323 and 747,649.50 is: 1,628,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,323 : 747,649.50 = 747,649.50 : x
  2. Step 2: Convert to fraction form
    343,323/747,649.50 = 747,649.50/x
  3. Step 3: Cross multiply
    343,323x = 747,649.50 × 747,649.50
  4. Step 4: Simplify right side
    343,323x = 558,979,774,850.25
  5. Step 5: Solve for x
    x = 558,979,774,850.25/343,323
  6. Step 6: Final answer
    x = 1,628,145.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.