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Finding the Third Proportional to 215,313 and 460,074

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Solution

The third proportional to 215,313 and 460,074 is: 983,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,313 : 460,074 = 460,074 : x
  2. Step 2: Convert to fraction form
    215,313/460,074 = 460,074/x
  3. Step 3: Cross multiply
    215,313x = 460,074 × 460,074
  4. Step 4: Simplify right side
    215,313x = 211,668,085,476
  5. Step 5: Solve for x
    x = 211,668,085,476/215,313
  6. Step 6: Final answer
    x = 983,071.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.