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Finding the Third Proportional to 376,404 and 783,784

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Solution

The third proportional to 376,404 and 783,784 is: 1,632,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,404 : 783,784 = 783,784 : x
  2. Step 2: Convert to fraction form
    376,404/783,784 = 783,784/x
  3. Step 3: Cross multiply
    376,404x = 783,784 × 783,784
  4. Step 4: Simplify right side
    376,404x = 614,317,358,656
  5. Step 5: Solve for x
    x = 614,317,358,656/376,404
  6. Step 6: Final answer
    x = 1,632,069.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.