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Finding the Third Proportional to 403,654.50 and 849,132

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Solution

The third proportional to 403,654.50 and 849,132 is: 1,786,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,654.50 : 849,132 = 849,132 : x
  2. Step 2: Convert to fraction form
    403,654.50/849,132 = 849,132/x
  3. Step 3: Cross multiply
    403,654.50x = 849,132 × 849,132
  4. Step 4: Simplify right side
    403,654.50x = 721,025,153,424
  5. Step 5: Solve for x
    x = 721,025,153,424/403,654.50
  6. Step 6: Final answer
    x = 1,786,243.32

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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.