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Finding the Third Proportional to 403,908 and 849,600

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Solution

The third proportional to 403,908 and 849,600 is: 1,787,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,908 : 849,600 = 849,600 : x
  2. Step 2: Convert to fraction form
    403,908/849,600 = 849,600/x
  3. Step 3: Cross multiply
    403,908x = 849,600 × 849,600
  4. Step 4: Simplify right side
    403,908x = 721,820,160,000
  5. Step 5: Solve for x
    x = 721,820,160,000/403,908
  6. Step 6: Final answer
    x = 1,787,090.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.