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Finding the Third Proportional to 215,516 and 468,370.50

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Solution

The third proportional to 215,516 and 468,370.50 is: 1,017,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,516 : 468,370.50 = 468,370.50 : x
  2. Step 2: Convert to fraction form
    215,516/468,370.50 = 468,370.50/x
  3. Step 3: Cross multiply
    215,516x = 468,370.50 × 468,370.50
  4. Step 4: Simplify right side
    215,516x = 219,370,925,270.25
  5. Step 5: Solve for x
    x = 219,370,925,270.25/215,516
  6. Step 6: Final answer
    x = 1,017,886.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.