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Finding the Third Proportional to 215,413 and 468,596

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Solution

The third proportional to 215,413 and 468,596 is: 1,019,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,413 : 468,596 = 468,596 : x
  2. Step 2: Convert to fraction form
    215,413/468,596 = 468,596/x
  3. Step 3: Cross multiply
    215,413x = 468,596 × 468,596
  4. Step 4: Simplify right side
    215,413x = 219,582,211,216
  5. Step 5: Solve for x
    x = 219,582,211,216/215,413
  6. Step 6: Final answer
    x = 1,019,354.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.