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Finding the Third Proportional to 215,527 and 468,361

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Solution

The third proportional to 215,527 and 468,361 is: 1,017,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,527 : 468,361 = 468,361 : x
  2. Step 2: Convert to fraction form
    215,527/468,361 = 468,361/x
  3. Step 3: Cross multiply
    215,527x = 468,361 × 468,361
  4. Step 4: Simplify right side
    215,527x = 219,362,026,321
  5. Step 5: Solve for x
    x = 219,362,026,321/215,527
  6. Step 6: Final answer
    x = 1,017,793.72

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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.