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Finding the Third Proportional to 384,216.75 and 553,402.13

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Solution

The third proportional to 384,216.75 and 553,402.13 is: 797,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,216.75 : 553,402.13 = 553,402.13 : x
  2. Step 2: Convert to fraction form
    384,216.75/553,402.13 = 553,402.13/x
  3. Step 3: Cross multiply
    384,216.75x = 553,402.13 × 553,402.13
  4. Step 4: Simplify right side
    384,216.75x = 306,253,911,954.52
  5. Step 5: Solve for x
    x = 306,253,911,954.52/384,216.75
  6. Step 6: Final answer
    x = 797,086.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.