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Finding the Third Proportional to 213,952 and 460,088

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Solution

The third proportional to 213,952 and 460,088 is: 989,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,952 : 460,088 = 460,088 : x
  2. Step 2: Convert to fraction form
    213,952/460,088 = 460,088/x
  3. Step 3: Cross multiply
    213,952x = 460,088 × 460,088
  4. Step 4: Simplify right side
    213,952x = 211,680,967,744
  5. Step 5: Solve for x
    x = 211,680,967,744/213,952
  6. Step 6: Final answer
    x = 989,385.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.