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Finding the Third Proportional to 363,476 and 741,784

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Solution

The third proportional to 363,476 and 741,784 is: 1,513,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,476 : 741,784 = 741,784 : x
  2. Step 2: Convert to fraction form
    363,476/741,784 = 741,784/x
  3. Step 3: Cross multiply
    363,476x = 741,784 × 741,784
  4. Step 4: Simplify right side
    363,476x = 550,243,502,656
  5. Step 5: Solve for x
    x = 550,243,502,656/363,476
  6. Step 6: Final answer
    x = 1,513,837.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.