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Finding the Third Proportional to 343,320 and 747,643.50

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Solution

The third proportional to 343,320 and 747,643.50 is: 1,628,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,320 : 747,643.50 = 747,643.50 : x
  2. Step 2: Convert to fraction form
    343,320/747,643.50 = 747,643.50/x
  3. Step 3: Cross multiply
    343,320x = 747,643.50 × 747,643.50
  4. Step 4: Simplify right side
    343,320x = 558,970,803,092.25
  5. Step 5: Solve for x
    x = 558,970,803,092.25/343,320
  6. Step 6: Final answer
    x = 1,628,133.53

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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.