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Finding the Third Proportional to 212,082 and 456,666

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Solution

The third proportional to 212,082 and 456,666 is: 983,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,082 : 456,666 = 456,666 : x
  2. Step 2: Convert to fraction form
    212,082/456,666 = 456,666/x
  3. Step 3: Cross multiply
    212,082x = 456,666 × 456,666
  4. Step 4: Simplify right side
    212,082x = 208,543,835,556
  5. Step 5: Solve for x
    x = 208,543,835,556/212,082
  6. Step 6: Final answer
    x = 983,317.00

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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.