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Finding the Third Proportional to 215,271 and 471,582

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Solution

The third proportional to 215,271 and 471,582 is: 1,033,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,271 : 471,582 = 471,582 : x
  2. Step 2: Convert to fraction form
    215,271/471,582 = 471,582/x
  3. Step 3: Cross multiply
    215,271x = 471,582 × 471,582
  4. Step 4: Simplify right side
    215,271x = 222,389,582,724
  5. Step 5: Solve for x
    x = 222,389,582,724/215,271
  6. Step 6: Final answer
    x = 1,033,068.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.