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Finding the Third Proportional to 215,394 and 469,955

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Solution

The third proportional to 215,394 and 469,955 is: 1,025,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,394 : 469,955 = 469,955 : x
  2. Step 2: Convert to fraction form
    215,394/469,955 = 469,955/x
  3. Step 3: Cross multiply
    215,394x = 469,955 × 469,955
  4. Step 4: Simplify right side
    215,394x = 220,857,702,025
  5. Step 5: Solve for x
    x = 220,857,702,025/215,394
  6. Step 6: Final answer
    x = 1,025,366.08

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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.