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Finding the Third Proportional to 403,742 and 849,304

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Solution

The third proportional to 403,742 and 849,304 is: 1,786,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,742 : 849,304 = 849,304 : x
  2. Step 2: Convert to fraction form
    403,742/849,304 = 849,304/x
  3. Step 3: Cross multiply
    403,742x = 849,304 × 849,304
  4. Step 4: Simplify right side
    403,742x = 721,317,284,416
  5. Step 5: Solve for x
    x = 721,317,284,416/403,742
  6. Step 6: Final answer
    x = 1,786,579.76

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Why These Related Problems?

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