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Finding the Third Proportional to 213,506 and 460,000

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Solution

The third proportional to 213,506 and 460,000 is: 991,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,506 : 460,000 = 460,000 : x
  2. Step 2: Convert to fraction form
    213,506/460,000 = 460,000/x
  3. Step 3: Cross multiply
    213,506x = 460,000 × 460,000
  4. Step 4: Simplify right side
    213,506x = 211,600,000,000
  5. Step 5: Solve for x
    x = 211,600,000,000/213,506
  6. Step 6: Final answer
    x = 991,072.85

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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.