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Finding the Third Proportional to 403,717 and 849,257

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Solution

The third proportional to 403,717 and 849,257 is: 1,786,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,717 : 849,257 = 849,257 : x
  2. Step 2: Convert to fraction form
    403,717/849,257 = 849,257/x
  3. Step 3: Cross multiply
    403,717x = 849,257 × 849,257
  4. Step 4: Simplify right side
    403,717x = 721,237,452,049
  5. Step 5: Solve for x
    x = 721,237,452,049/403,717
  6. Step 6: Final answer
    x = 1,786,492.65

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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.